Name Period Teacher 1

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1 Name Period Teacher 1

2 Geometr Pre-AP Westside High School 6 th Si Weeks all dates subject to change (8 das) Monda Tuesda Wednesda Thursda Frida April 6 9. Rotations 7 Rotations about a point not the origin Quiz Compositions of Transformations EOC #6 Due Compositions of Transformations EOC #6 Due Dilations Quiz HW: Pg 8 # Review HW:Pg #1-1 Test #16 HW: pg 1-1 all Vocabular with Circles HW: pg 1-1 all Vocabular with Circles HW: Pg all Find Arc Measures HW: Pg 18-1 HW: EOC #7 HW: Pg 1- HW: Pg 1- HW: Properties of Chords Use Inscribed angles and Polgons EOC #7 Due 10.5 Other Angle relationships in Circles 10.5 Other Angle relationships in Circles 10.6 Find Segment lengths in Circles HW: Write and graph equations of Circles HW: End of the ear Worksheet # HW: 8 Review da Chapter 10 5 End of the ear Worksheet # HW: 9 End of the ear Worksheet #1 HW: complete worksheet 6 End of the ear Worksheet # HW: 0 End of the ear Worksheet #1 HW: complete worksheet 7 End of the ear Worksheet # HW: Ma 1 Test #17 HW: EOC #8 8 End of the ear Worksheet #5 EOC #8 Due HW: complete worksheet HW: complete worksheet HW: complete worksheet HW: complete worksheet HW: complete worksheet 11 End of the ear Worksheet #6 1 End of the ear Worksheet #7 1 Review Da 1 1 Review Da 1 15 Test #18 HW: complete worksheet 18 Review for Finals HW: complete worksheet 19 Review for Finals Looking over old tests 0 Review for Finals 1 Review for Finals Finals 5 Memorial Da Holida 6 Finals 7 Finals 8 Finals 9 Teacher Workda

3 Worksheet 1 Do the work on our own paper. 1. Sand is poured out of a container onto the beach and forms a right circular cone, the height of the cone is equal to the diameter of the cone. Given: radius =. a. Find the volume of the cone in terms of. b. If the volume is 1 cubic inches, find the height and radius of the conical pile.. A paper cup(which is in the shape of a right circular cone) is 6 inches deep and 6 inches across. Four inches of water is poured into the cup. a. Find the radius of the water. b. Find the volume of the water in terms of.. A paper cup(which is in the shape of a right circular cone) is 1 inches deep and has a radius of 6 inches. Water is poured into the cup to a depth of inches and has a radius of inches. a. Find. b. Find the volume of the water.. A balloon is in the shape of a sphere and has a volume of 9 ft. What is the length of the radius in inches? What is the 16 surface area of the balloon? 5. A snowball is in the shape of a sphere. The radius of the sphere is represented b inches. a. Find the volume of the snowball in terms of. b. Find the surface area in terms of. c. If the volume of the snowball is 6 cu. in., what is the radius and surface area of the snowball? d. If the surface area of the snowball is 6 sq. in., what is the radius and the volume of the snowball? 6. A right cone with a radius of 6 cm. and a height of 10 cm. is intersected b a plane parallel to the base and 5 cm. above the base. Find the surface area and volume of the frustum. 7. A water reservoir is in the form of a right circular cone, the cone is 1 ft. deep and 1 ft. across the top. Water is collected in the cone to a depth of ft. and has a radius of ft. a. Find. b. Find the volume of the water. 8. A balloon is formed b a clinder with two hemispheres one on each end of the clinder. The radii of the hemispheres are the same as the radius of the clinder. The balloon is being inflated at a rate of 16 cu. cm. per min. At the instant the radius of the clinder is cm., the volume of the balloon is 1 cu. cm. and the radius of the clinder is increasing at the rate of cm. per min. At this instant what is the height of the clinder? 9. The trough shown in the figure below is 5 ft. long and its vertical cross sections are inverted isosceles triangles with base of ft. and a height of ft. Water is being siphoned out of the trough at the rate of cu. ft. per min. At an time t, let h be the depth and V be the volume of the water in the trough. Find the volume of water in the trough when it is full. What would be the volume of the water, if there was onl 1 ft. of water in the trough?

4 10. A right circular cone has a height of 1 cm. and a base whose diameter is 10 cm. Another cone is placed inside the original cone so that its verte is at the center of the base of the original cone and so that its base is parallel to the base of the original cone. Let represent the radius of the inside cone and h represent the height of the inside cone. a. Epress h in terms of. b. What is the radius of the inside cone if the height of the inside cone is 6 cm.? c. What is the height of the inside cone if the radius of the inside cone is.5 cm.? 11. A tent is in the shape of the figure below where ABC and PQR are congruent isosceles triangles, CBQR and CAPR are congruent rectangles, and ABQP is a rectangle. If AC = CB = PR = RQ = 1 ft. and AB = PQ = 10 ft. and BQ = AP = 0 ft., find the following: a. the volume inside the tent. R b. total surface area of the tent(assume all five sides of the tent are made of tent material). C P Q 1. The figure below represents a building. The ends of the roof are congruent isosceles triangles with leg length of 1 ft., the slanted part of the roof are congruent rectangles 1 ft. b 0 ft. The ends of the building are congruent rectangles ft. wide and 10 ft. high. The sides of the building are congruent rectangles. a. Find the volume of the building. b. Find the total surface area of the building(ecluding the floor). A B 1. A water trough that is 6 ft. deep, ft. across and 1 ft. long has water in it to a depth of ft. Find the volume of the water. 1. A grain silo is in the form of a right circular clinder with a hemisphere on top. The hemisphere and clinder both have a radius of 1 ft. and the clinder is 8 ft. tall. The silo is full of grain and one cu. ft. of grain weighs 6 lbs. Find the number of pounds of grain to the nearest whole pound in the silo. 15. Square cake pans 0 cm on an edge and 6 cm deep are to be coated on the inside with a non-stick material. If the amount of non-stick material available covers 100 m, how man pans can be coated?

5 16. A clindrical hole with diameter 8 in. is cut through a cube 10 in. on a side. Find the surface area of this solid, shown to the right Figure A Figure B Figure C Assume the measurements in figure A are in centimeters. You are to produce 10,000 of these widgets and each must be electroplated with a thin laer of high conductive silver. Find the total silver cost if silver costs $1 for each 00 square centimeters. 18. Assume the measurements in figure B are in meters. Find the cost of painting the eterior of nine of these large clindrical chemical storage containers with anti-rust sealant. The sealant costs $ per gallon. Each gallon covers 18 square meters. The eterior bottoms are not to be painted. Use /7 for. 19. Assume the measurements in figure C are in feet. The three shaded regions are to be covered with asphalt shingles which cost $5 per bundle. Each bundle contains enough shingles to cover 100 square feet. The remaining vertical surfaces (three are trapezoids and one is a right triangle) are to be covered with wood stain at $15 per gallon. Each gallon covers 150 square feet. Find the total cost of the project. 5

6 nd Worksheet Do work on own paper. You ma onl graph on this sheet. a) Graph and shade each region bounded b the lines, b) identif the shape, c) label the vertices, and d) find the area. *1. = 0, = 0, = + *, 6, =, = 5. =, = 1, =, = 6 *. =, = 7,, 0 5. = +, = 1, =, = *6. 6

7 7. =, =, = *8. =, =, = 0, 0 *9. 1, 0, 1, ( ) + ( ) = = 5 + 1, = 5, = 0 *1. 6 7

8 rd Worksheet Graph the following equations and find the area of the figure bounded b the lines. Name the tpe of figure, shade in each figure on the graph and label lines. All answers should be eact. 8 1) 7 8 )

9 ) ) 0 0 5)

10 6) ) 8)

11 9) ) )

12 1) ) )

13 Name: Per. th Worksheet Onl graph on this paper, show all other work on our own sheet of paper. Find the indicated measurements. 1. Graph the following lines: =, = 1, + 5 = 8. a. What tpe of figure is formed? b. Find the area of the region bounded b the three lines. c. Rotate the region about =. What tpe of solid is formed? d. Find the LA, SA, and V of the solid formed. e. Rotate the region about = 1. What tpe of solid is formed? f. Find the LA, SA, and V of the solid formed. 1

14 . Graph the following lines: = 6, = 1, =, = 5. a. What tpe of figure is formed? b. Find the area of the region bounded b the four lines. c. Rotate the region about = 6. What tpe of solid is formed? d. Find the LA, SA, and V of the solid formed. e. Rotate the region about = 5. What tpe of solid is formed? f. Find the LA, SA, and V of the solid formed. g. Rotate the region about the -ais. Describe the solid formed. h. Find the volume and surface area of the solid formed. i. Rotate the region about the -ais. Describe the solid formed. j. Find the volume and surface area of the solid formed. 1

15 . Graph the following lines: = 0, = 6, = + a. What tpe of figure is formed? b. Find the area of the region bounded b the three lines. c. Rotate the region about = 0. What tpe of solid is formed? d. Find the LA, SA, and V of the solid formed. e. Graph the line = 0. What tpe of figure is formed? f. Find the area of the region bounded b = 0, = 0, = +, = 6. g. Rotate the region about = 0. What tpe of solid is formed? h. Find the LA, SA, and V of the solid formed. 15

16 Name: Per. 5th Worksheet Directions 1. Graph and shade the given region.. Rotate the region about the given line.. Name the solid formed.. Find the volume of the solid formed. region 1. region: = + 9, = 0, = 0. region: = + 9, = 0, = 0 ais of revolution: = 0 ais of revolution: = 0. Region = + 9, = 0, = 0, =. Region: = + 9, = 0, = 0, = Ais of Revolution : = 0 Ais of Revolution: = 0 16

17 5.Region : 9 6. Region : =, =, = 0, = 0 Ais of Revolution: = 0 Ais of Revolution : = 0 7. Region: =, =, = 0, = 0 8. Region : =, = 5, = 0 Ais of Revolution : = 0 Ais of Revolution : = 0 9. Region : = +, = 0, =, = Region : = +, = 0, =, = 0 Ais of Revolution: = Ais of Revolution: = 0 17

18 11. Region : =, = 0, = 1. Region : =, = 0, = Ais of Revolution: = 0 Ais of Revolution : = 0 *1. Region: =, = 0, = Ais of Revolution: = 18

19 6th Worksheet Find the volume and surface area of the solid generated b revolving the region bounded b the graphs of the equations about the indicated line. 1. = 0, = 0, =, = a. the ais b. the ais c. the line = d. the line = 6 SA: Vol:. = +, = 0, = 0, = a. the ais b. the ais c.* the line = d. the line = SA: Vol: 19

20 *. 6,, = 0 a. the ais b. the ais c. the line = d. the line SA: Vol: Graph the following. Name the figure, find the surface area, and volume after revolving around the given line. *., 1,, Revolve around Pic for # SA: Vol: 0

21 *5. 6,, 0 Revolve around 0 SA: Vol: 7th Worksheet Find the volume and surface area of the solid generated b revolving the region bounded b the graphs of the equations about the indicated line. Shade figure once graphed and draw a D representation of the figure. 1) Revolve around 0 1

22 ) 6 6 Revolve around 0 ) 9 Revolve around 0 0

23 ) 1 7 Revolve around ) Revolve around 1

24 5 6) Revolve around 1 1

25 6 7) Revolve around 0 5

26 Worksheet 1 Answers 1) a. b. 6, 1 ) a. r 16 b. V in ) a b. V in ) r.75 ft or 9in 9 SA ft or in 5) a. V b. SA in c. r SA 6 d. r V 6 in 6) V 105 SA 5 9 7) a. 6 ft b. V 18 ft 8) 1 cm 9) full 10) a. 11) a ft at 1 ft V 1 h 1 b. 5 5 c. 6 ft b. 80 ft 1) a. 1,000 1) 6 ft ft b. 0 ft 5 1) V 7, ft grain 515,85 lbs *15) 116 pans *16) in 17) Fig A $ ) Fig B. $ ) Fig C. $50.00 ft Worksheet Answers 1) Right Triangle, A 8, points: ) Triangle, A 7, points: ) Rectangle, A 5, points: ) Trapezoid, A 9, points: 5) Trapezoid, A, points: 6) Circle, A 16, points: 7) Isosceles Triangle, A 16, points: 8) Trapezoid, A, points: 9) Parallelogram, A, points: 10) Circle, A 5, points: 5 11) Right Triangle, A 11.5, points: 1) Circle, A 6 Center 0,0, points: Worksheet Answers 1) Quadrilateral, A 71 ) Heagon, A 161 ) Quadrilateral, A ) Heagon, A 6 5) Triangle, A 8 6) Pentagon, A 7) Kite, A 8) Trapezoid, A 90 9) Quadrilateral, A 78 10) Kite, A 7 11) Pentagon, A 77 1) Pentagon, A ) Quadrilateral, A ) Quadrilateral, A 96 6

27 Worksheet Answers 1) a. Triangle 15 b. A c. Cone d. LA, SA 9, V 15 e. Cone f. LA 5, SA 5 5, V 5 ) a. Square b. A 16 c. Clinder d. LA, SA 6, V 6 e. Clinder f. LA, SA 6, V 6 g. Clinder with a hole h. SA 96, V 96 i. Clinder with a hole j. SA 18, V 18 Worksheet 5 Answers 1) Cone, V 7 ) Cone, V 81 ) Frustum, V 19 ) Frustum, V 78 5) Sphere, V 6 6) Clinder, V 8 7) Clinder, V ) Clinder with cone removed, V 7 9) Cone on top of clinder, V Worksheet 6 Answers 1) a. Clinder, SA, V 6 b. Clinder, SA 56, V 8 c. Clinder with a hole, SA 16, V 108 d. Clinder with a hole, SA 11, V 96 ) a. Clinder & cone removed, 56 SA 8 5, V 10 b. Frustum, SA , V c. Clinder & a frustum on top with clinder removed, SA 5 1 5, V d. Cone on top of clinder, SA 1 5, V 0 16 ) a. Right Triangle b. A 7 c. Cone d. LA 18 1, SA , V 108 e. Trapezoid f. A g. Frustum h. LA 16 1, SA , V 10 10) Frustum, V 11) Cone, V ) Clinder with cone removed, V 1) Back to back cones, V ) a. Frustum with cone removed, SA 6 6, V 5 18 b. Back to back cones, SA 18, V 18 c. Clinder with cones removed, SA 6 18, V 6 d. Back to Back frustums with clinder removed, SA 6 5, V 7 ) Back to Back different frustums, with different cones removed, SA 10 V 18 5) Frustum with a clinder removed, SA 5 7 V 6 7

28 Worksheet 7 Answers 1) Clinder with different cones removed, SA , V 0 ) Back to back frustums with cone removed, SA 160, V 19 ) Frustum with cone removed with a cone on bottom, SA 7, V 16 ) Frustum with cone removed with a cone on bottom, SA 6 5, V 10 5) Clinder with cone on bottom with cone removed from top, SA , V 6 6) Clinder with cone on top and cone removed from bottom, SA , V 5 7) Clinder with frustum removed with frustum on top and clinder removed, SA , V 16 8