Indian Institute of Foreign Trade 2015 Solved Paper

Question : 14 of 124

Marks: +1, -0

If a right circular cylinder of height 14 is inscribed in A sphere of radius 8, then the volume of the cylinder is:

Solution:

(d)

Let O be the center of Sphere and r be the radius of cylinder
∴ OA = 8; OC = 7
Now In right triangle OAC

{ \OA } ^ { 2 } = { \OC } ^ { 2 } + { \AC } ^ { 2 }

\;\;\;8 ^ { 2 } = 7 ^ { 2 } + r ^ { 2 }

\;\;\;\r ^ { 2 } = 15\;\;\;\;\;\;\;\;\;\;\;\;\;\;...(1)

Volume of cylinder = πr

^2

= { 22 } /{ 7 } × 15 × 14 = 660

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