# If the volume of a right circular cylinder is 16 π m3 and height is 4 m. The diameter of the base is -

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Rajasthan CET (Senior Secondary) Official Paper (Held On: 04 Feb, 2023 Shift 2)
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1. 1 m
2. π m
3. 4 m
4. 2m

## Answer (Detailed Solution Below)

Option 3 : 4 m
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## Detailed Solution

Given:

The volume of a right circular cylinder = 16π m3

Height of right circular cylinder = 4 m

Formula used:

Volume of right circular cylinder(V) = π × r2 × h

Where, r = radius of the cylinder

Calculation:

Volume of right circular cylinder(V) = π × r2 × h

⇒ π × r2 × h = 16 × π

⇒ r2 × 4 = 16

⇒ r2 = 4

⇒ r = 2

Diameter of cylinder = 2 × r = 2 × 2 = 4 m

∴ The answer is 4 m.

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