Question

A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

Given:

• Height of cylinder = 20 cm
• Diameter of cylinder = 38 cm

First, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.

`\text{Diameter = 2(Radius)}`

`\text{Radius} = \frac{\text{Diameter}}{2}`

`\text{Radius} = (38)/(2)`

`\text{Radius} = 19 \ \text{cm}`

Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.

`\pi r^(2) h = \text{Volume of cylinder}`

`(\pi)( r^(2))( h) = \text{Volume of cylinder}`


`(3.14)( 19^(2))( 20) = \text{Volume of cylinder}`


`\boxed{22670.8 \ \text{cm}^(3) = \text{Volume of cylinder}}`

Answer 2

`\huge\boxed{\sf 22670.80 \ cm^3}`

Explanation:

Height = h = 20 cm

Diameter = d = 38 cm

Radius = d / 2 = 38 / 2 = 19 cm

Volume of cylinder:

`= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}`