Question

What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m?

Enter your answer in the box. Express your answer using π .

Answer 1

141.3 cubic inches

Explanation:

The volume of a cylinder is found using the volume formula
`V=\pi r^2h`.

The radius is half the diameter 6 which is 3.

Substitute h=5 and r = 3.

`V = \pi r^2h\\V = \pi (3^2)(5)\\V=\pi *9*5\\V = 45\pi \\V= 141.3`

Answer 2

The volume of the right circular cylinder is 45π m³

Explanation:

To solve this, we will follow the steps below;

We will simply use the formula;

v = π r² h

Where v is the volume of the cylinder

π is a constant

r is the radius

h is the height

From the question given;

diameter = 6 m but radius is half diameter, this implies radius = d/2 =6/2 = 3 m

radius = 3 m

height = 5 m

We can now proceed to insert our values into the formula;

v = π r² h

=π × 3² × 5

=π × 9 × 5

=45π

Therefore the volume of the right circular cylinder is 45π m³