Question

You have a cylinder with a height of 8 centimeters and a radius of 3 centimeters. What is the volume. If you get the answer please add a explantion.

Answer 1

The exact volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.

Explanation:

The volume of a cylinder can be calculated using the formula:

`\boxed{V = \pi r^2 h}`

where:

• V is the volume.
• r is the radius.
• h is the height.

Given values:

• r = 3 cm
• h = 8 cm

Substitute the given values into the formula and solve for V:

`\begin{aligned} \implies V&=\sf \pi \cdot 3^2 \cdot 8\\&=\sf \pi \cdot 9 \cdot 8\\&=\sf 72\pi \;cm^3\\&= \sf 226.19\; cm^3\;(2\;d.p.)\end{aligned}`

Therefore, the volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.