Question

The volume of a cylinder with a diameter of 6 inches and a height that is three times the radius.Use 3.14 for pi and round your answer to the nearest hundredth

Answer 1

Volume of a Cylinder

Volume of the cylinder is 28.26 in³

Explanation:

Cylinder is defined as a three dimensional geometric figure with straight parallel sides and a circular or oval cross section.

The volume of the cylinder is defined as
`\\\pi r^(2) h`

where r is radius of the base of the cylinder and h is the height of the cylinder

V =
`\\\pi r^(2) h`

Given diameter d = 6 in

So the radius r =
`(d)/(2)` =
`(6)/(2)` = 3 in

Given the height is three times the radius

so the height h =
`(r)/(3)` =
`(3)/(3)` = 1 in

so h = 1 in

V = 3.14 × 3² × 1

= 3.14 × 9

= 28.26 in³

Hence the Volume of the cylinder is 28.26 in³