Question

Find the volume of the cylinder in terms of
`\pi`.

h = 6 and r = 3.


a. 27
`\pi` in.³

b. 108
`\pi` in.³

c. 54
`\pi` in.³

d. 324
`\pi` in.³

Answer 1

c. 54
`\pi` in.³

The volume of cylinder is 54
`\pi` in.³

Explanation:

Given that :-

• Height of cylinder , h = 6.
• Radius of cylinder, r = 3.

To Find :-

• Volume of cylinder.

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

• Substitute the value of radius and height.

Volume of cylinder = π × ( 3)² × 6.

• Evaluate the exponent.

Volume of cylinder = π × 9 × 6.

• Multiply we get ,

Volume of cylinder = 54
`\pi` in.³

Answer 2

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.