Grade 10 Surface Area and Volume
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1 ID : ae-10-surface-area-and-volume [1] Grade 10 Surface Area and Volume For more such worksheets visit Choose correct answer(s) from the given choices (1) The perimeters of the ends of the frustum of a cone are 8.36 cm and cm. If the height of the frustum is 49 cm, find its curved surface area. (Take π = 22 ). 7 a. b cm cm 2 c. d cm 2 None of these (2) Choose the maximum volume of a cone that can be carved out of a solid hemisphere of radius r. A r O B r V a. 1 3 πr 3 b. 1 4 πr 3 c. 3πr 3 d. None of these Fill in the blanks (3) A headgear used by the turks is shaped like the frustum of a cone. If the radius of the open side is 14 cm, the radius of the closed base is 24 cm and its slant height is 11 cm. The area of the material used for making it is cm 2.
2 ID : ae-10-surface-area-and-volume [2] Answer the questions (4) A decorative block shown in the figure is made of two solids_a cube and a hemisphere. The base of the block is the cube with edge of and the hemisphere attached on the top has a diameter of 2.9 cm. If the block to be painted, find the total area to be painted.(take π= 22/7) 2.9 cm (5) A tent is in form of a right circular cylinder and cone as shown in the picture. The radius of cone and cylinder is 4 meters. The height of cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 7 )
3 ID : ae-10-surface-area-and-volume [3] (6) A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in the figure.the height of the entire rocket is 37 cm, while the height of the conical part is 26 cm. The base of the conical portion has a diameter of 20 cm,which the base diameter of the cylinderical portion is 6 cm. If the conical portion is painted blue, find the area of the rocket painted with blue colours.( Take π= 3.14) 26 cm 37 cm 6 cm 20 cm base of cone base of cylinder (7) A hemisphere depression is cut out from one face of a cubical wooden block of length 'l' such that the diameter of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid. (8) There is a right cylindrical vessel of radius 3 cm and height 30 cm which is full of ice-cream. This icecream needs to be filled in cones of height 9 cm and radius 3 cm having a hemispherical shape on the top. How many such cones can be filled with ice-cream?
4 ID : ae-10-surface-area-and-volume [4] (9) A castle is made in the form of a conic frustum, surmounted by a cone. The diameters of the base and the top of the frustum are 27 m and 14 m and its height is 12 m. The height of the castle is 20 m. Find the quantity of canvas required to make the castle. (10) A decorative used by the turks is shaped like the frustum of a cone. If the radius of the open side is 15 cm, the radius of the closed base is 28 cm and its slant height is 17 cm. Find the area of the material used for making it Edugain ( All Rights Reserved Many more such worksheets can be generated at
5 Answers ID : ae-10-surface-area-and-volume [5] (1) b cm 2 (2) a. 1 3 πr 3 (3) 3124 (4) cm 2 (5) 176 m 2 (6) cm 2 (7) l2 4 (24 + π) sq.units (8) (9) (10) m cm 2
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