If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio
1 : 8
2 : 1
1 : 2
8 : 1
Three sphere of radii 3cm, 4cm and 5cm are melted to form a new sphere. Then, the radius of the new sphere is
6cm
7.5cm
10cm
12cm
12 spheres of the same size are made by melting a solid cylinder of 16cm diameter and 2cm height. Then, the diameter of each sphere is
√3cm
2cm
3cm
4cm
If height of a cone is tripled and radius is doubled then its volume will become ----- times.
12
8
4
2
Three cubes of iron whose edges are 6cm, 8cm and 10cm are melted and formed into a single cube. Then the edge of the new cube is
18cm
14cm
16cm
Volumes of two spheres are in the ratio 64:27. The ratio of their surface area is
3:4
4:3
9:16
16:9
A wooden article was made by scooping out a hemisphere from each end of a cylinder. If the height of the cylinder is 10cm and its base is of diameter 7cm, find the total surface area of the article when it is ready.
370 cm2
371 cm2
373 cm2
374 cm2
A spherical ball of lead 3 cm in diameter, is melted and recast into three spherical balls. The diameter of two of these balls are 1.5 cm and 2 cm respectively. Then, the diameter of the third ball is
3 cm
2.5 cm
2.6 cm
3.5 cm
A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone.
20cm
24.5cm
26cm
28.44cm
A cone of height 15cm and base diameter 30cm is curved onto a wooden sphere of radius 15cm. Then the percentage of wasted wood is
50%
75%
40%
25%
