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SHORT TYPE QUESTIO, , v, , 10., i, , 12., , feat fe au eo rere eet ec Li, A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that ., , space of the cube remains unfilled. Then the no. of marbles that the cube can accommodate is, (a) 142296 (b) 142396 (c) 142496 (a) 142596, A mason construction a wall dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25, , 1 “i, cm x 8.75 cm and it is assumed that a space is covered by the mortar. Then the number of bricks used to construct, , the wall is, , (a) 11100 (b) 11200 (c) 11000 (d) 11300, , The radii of the top and bottom of a bucket of slant height 45 cm and 28 cm and 7cm respectively, the carved, surface area of the bucket is, , (a) 4950 cm? (b) 4951 cm* (©) 4952 cm* (d) 4953 em?, , Volumes of two sphere are in the ratio 64 : 27. The ratio of their surface areas is, , (a) 3:4 (b) 4:3 (c) 9:16 (d) 16:9, , A right circular cylinder of radius r cm and the height h cm (h > 2r) just enclose a sphere of diameter, (a) rem (b) 2rem (©) hem (@) hem, , A medicine capsule is in the shape of a cylinder of diameter 0.5 em with two hemisphere stack to each of its ends., The length of entire capsule is 2 cm. The capacity of the capsule is, , (a) 0.36 cm? (b) 0.35 em! (c) 0.34 cm‘ (d) 0.33 cm?, The radii of the ends of a frustum of a cone 40 em high are 20 em and 11 em. Its slant height is, (a) dem (b) — 20VS em) 49 om (@) 521 em, , A sphere of radius 6 cm is dropped into a cylindrical vessel party filled with water the radius of the vessel is 8 cm., If the sphere is submerged completely, then the surface of the water rises by, , (a) 45cm (bt) 4cm (©) 3em (dd) 2em, , A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. If the height of the, cone is h and the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder, is, , ie), =, , (a) 2h (b) (©) (d) 4h, , wf}, , , , 2 marks each, , ‘A cone of height 24 cm and radius of base 6 cm is made up of modelling clay, find the volume of cone., , The cylindrical cans have equal base areas, If one of the can is 15 cm high & other is 20 cm high, find the ratio of, their volumes,, , Ina box whose dimensions are 12 cm x 4 cm x 3 cm, what is the length of the longest stick that can be placed ?, Find the volume of a cylinder whose height is 12 em & radius is 5 em., , It costs Rs.2200 to paint the inner curued surface of a cylindrical vessel 10 m deep. If the cost of painting is at the, rate of Rs.20 per m’, find inner curved surface are of the vessel, , The height of a right circular cone is 12 cm & the radius of its base is 4.5 em. Find the slant height., , A conical military tent having the diameter of the base is 24 m and slant height of the tent is 13 m, find the curved, surface area of the cone., , A jokers cap is in the form of a right circular cone of base radius 7 cm & the slant height is 25 cm. Find the area of, the cap., , The radius of the sphere is 6 cm. Find the volume of sphere, , Find the radius of the sphere whose surface area is 154 em”., , Two cubes have their volume in the ratio 1 : 64. What is the ratio of their surface areas ?, , A sphere of maximum volume is cut out from a solid hemisphere of radius 7 cm. What is the ratio of the volume of, the hemisphere to that of the cut out sphere.