Question

1. the area of the base of a cylinder with a radius of 3 cm is_____.

a. 9π cm²
b. 3π cm²
c. 6π cm²
d. 18π cm²

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Substitute the given radius into the formula

Given \(r = 3\ \text{cm}\), substitute into \(A=\pi r^{2}\). So \(A=\pi\times(3)^{2}\).

Step3: Calculate the value

\(A=\pi\times9 = 9\pi\ \text{cm}^2\).

Answer:

A. \(9\pi\ \text{cm}^2\)