Question

1. the volume v of a cylinder is 45π cubic centimeters. the height h of the cylinder is 5 centimeters. use the formula v = bh to find the area b of the base of the cylinder.

Explanation:

Step1: Start with the formula

We know the formula for the volume of a cylinder is \( V = Bh \), where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height. We are given \( V = 45\pi \) and \( h = 5 \). We need to solve for \( B \).

Step2: Substitute the known values

Substitute \( V = 45\pi \) and \( h = 5 \) into the formula \( V = Bh \). So we get \( 45\pi = B\times5 \).

Step3: Solve for B

To solve for \( B \), we divide both sides of the equation by 5. So \( B=\frac{45\pi}{5} \). Simplifying the right side, \( \frac{45}{5}=9 \), so \( B = 9\pi \).

Answer:

The area \( B \) of the base of the cylinder is \( 9\pi \) square centimeters.