Curioustab

Home » Aptitude » Volume and Surface Area

A sphere of radius r has the same volume as that of a cone with circular base of radius r. Find the height of the cone.?

2r
r/3
4r
(2/3)r

Correct Answer: 4r

Explanation:

Given that,
Volume of sphere = Volume of cone
⇒ (4/3)πr³ = (1/3)πr²h
⇒ 4r = h

← Previous Question Next Question→

More Questions from Volume and Surface Area

A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the rose in level of the field will be?
Two cubes have volumes in the ratio 1: 27, The ratio of their surface areas is?
If each edge of a cube is increased in increased by 50%, the percentage increase in surface area is?
The difference in volumes of two cubes is 152 m 3 and the difference in their one face areas is 20 m 2. If the sum of their edge is 10 m, the product of their edge is?
The sun of length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 √ 5 cm. Its surface area is?
A tank 30 m long, 20 m wide and 12 m deep is dug in a field 500 m long and 30 m wide. By how much will the level of the field rise, if the Earth dug of the tank is evenly spread over the field?
A right circular cone of height h is cut by a plane parallel to the base at a distance h/3 from the base, then the volumes of the resulting come and the frustum are in the ratio?
If height of a cylinder is increased by 17.5 % while its radius remains unchanged, by what percent does its volume increase?
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√ 5 cm, its surface area is?
The sum of length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√ 5 cm. Its surface area would be?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion