Question

1. a cylinder has a base area of 36π cm² and a height of 5 cm. its volume is _____.

a. 180 cm³
b. 72π cm³
c. 144π cm³
d. 180π cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \(S = 36\pi\space cm^{2}\) and \(h=5\space cm\). Then \(V=36\pi\times5\).

Step3: Calculate the result

\(V = 36\pi\times5=180\pi\space cm^{3}\)

Answer:

d. \(180\pi\space cm^{3}\)