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Mathematics : Surface Areas and Volumes

Multiple Choice Questions

691. The ratio of the volume of a cube to that of a sphere which will exactly fit in the cube is

$straight pi space colon space 6$
$6 space colon space straight pi$
$6 space colon space straight pi over 2$
$6 space colon space straight pi over 2$

114 Views

692. If surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes is

$16 over 27$
$4 over 27$
$8 over 27$
$8 over 27$

298 Views

693. How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter? (Use

straight pi

= 22/7)

2500
2541
2542
2542

136 Views

694. A solid sphere of radius 3 cm is melted and then cast into small spherical balls each of diameter 0.6 cm. The number of small balls thus obtained is

1000
100
10000
10000

168 Views

695. 2 cubes each of volume 64 cm³ are joined end to end. Find the surface area of the resulting cuboid.

150 cm²
155 cm³
160 cm²
160 cm²

100 Views

696. A solid metallic sphere of diameter 21 cm is melted and recasted into a number of smaller cones, each of diameter 3.5 cm and height 3 cm. Find the number of cones so formed.

92 Views

697. A hemispherical bowl of internal diameter 30 cm contains some liquid. This liquid is to be filled into cylinderical shaped bottles each of diameter 5 cm and height 6 cm. Find the number of bottles necessary to empty the bowl.

397 Views

698. A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of base of the cone is

$straight r over 2$
$straight r over 3$
2r
2r

669 Views

699. Two cones have height volumes in the ratio 3 : 1 and their heights are in the ratio 1 : 3, then the ratio of their radius is

1 : 3
1 : 9
3 : 1
3 : 1

111 Views

700. A hemisphere of lead of radius 8 cm is cast into a right circular cone of base radius 8 cm. Determine the height of the cone, correct to two places of decimals.

15 cm
16 cm
14 cm
14 cm

177 Views