Multiple Choice QuestionsThe radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by
20%
20.5%
62%
62%
An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius 
are dropped in the vessel, 25% water is overflowed. The number of balls is:
100
400
200
200
Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm ) is
30
90
45
45
Radius cross section of a solid circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is 
56 cm
7 cm
5.6 cm
5.6 cm
A right circular conical structure stands on a circular base of 21 m diameter and is 14 m in height. The total cost of colour washing for its curved surface at 6 per sq m is (Take 
)
4365
4465
3465
3365
A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed
is
19 cm
21 cm
23 cm
25 cm
The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is
3 : 1
2 : 1
3 : 2
4 : 3
The base area of a right pyramid is 57 sq units and height is 10 units. Then the volume of the pyramid is:
190 c. units
380 c. units
540 c. units
570 c. units
The volume of the largest sphere (in cm3) that can be drawn inside a cube of side 18 cm is
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