Question

1. what is the formula for the volume of a cylinder?

a. $\pi r^{3}$
b. $\frac{4}{3}\pi r^{3}$
c. $\frac{4}{3}\pi r^{2}h$
d. $\pi r^{2}h$

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \(V\) of a cylinder is given by the product of the area of the base and the height.

Step2: Find the area of the base

The base of a cylinder is a circle. The area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step3: Multiply by the height

Let \(h\) be the height of the cylinder. Then \(V=A\times h=\pi r^{2}h\)

Answer:

D. $\pi r^{2}h$