Question

1. a cylinder has a base area of 25π cm² and a height of 7 cm. what is the volume of the cylinder in terms of π?

a. 175π cm³
b. 100π cm³
c. 125π cm³
d. 250π cm³

Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula for a cylinder is \(V = B\times h\), where \(B\) is the base area and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(B = 25\pi\ \text{cm}^2\) and \(h=7\ \text{cm}\). Then \(V=(25\pi)\times7\).

Step3: Calculate the product

\((25\pi)\times7 = 175\pi\ \text{cm}^3\).

Answer:

A. \(175\pi\ \text{cm}^3\)