SSC MTS 2 Aug 2019 Shift 1 Paper

Question : 38 of 100

Marks: +1, -0

The radius of the base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume, then what is the height of the cone?

Validate

Solution:

Calculation:
Let the height of cone be h
Volume of cone = 1/3 ×

\π ×\r^2×\h

Volume of sphere = 4/3 ×

\π ×\r^3

According to the question,
⇒ 1/3 ×

\π ×\r^2×\h=

4/3 ×

\π ×\r^3

⇒ h = 4r

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