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A cylinder has a 28 m diameter and height is 25% of the diameter of the cylinder then find the difference between the volume of the cylinder and the volume of a cone whose height is 150% of the radius of the cylinder and whose radius is 50% of the height of the cylinder.

A cylinder has a 28 m diameter and height is 25% of the diameter of the cylinder then find the difference between the volume of the cylinder and the volume of a cone whose height is 150% of the radius of the cylinder and whose radius is 50% of the height of the cylinder. Correct Answer 4042.5 m<sup>3</sup>

Given:

Diameter of cylinder is 28 m

Concept:

Volume of cylinder =  π × r × h

Volume of cone = 1/3 × π × r2 × h

Calculation:

Radius of cylinder = 14 m

Height of cylinder = 7 m

Volume of cylinder =  π × 14 × 14 × 7

⇒ 4312 m2

Radius of cone = 3.5 m

Height of cone = 21

Volume of cone = 1/3 × (π × r2 × h)

⇒ 1/3 × (3.14 × 3.5 × 3.5 × 21)

⇒ 269.5 m2

Required diffirence,

⇒ 4312 - 269.5

⇒ 4042.5 m3

∴ The required result will be 4042.5 m3

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