Question

a cylinder has a height of 9 cm and a radius of 4 cm. what is the volume? 16π cm³ 144π cm³ 36π cm³ 324π cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 4\space\text{cm} \) and \( h=9\space\text{cm} \). First, calculate \( r^{2} \): \( r^{2}=4^{2}=16 \). Then, multiply by \( h \) and \( \pi \): \( V=\pi\times16\times9 \).

Step3: Calculate the product

\( 16\times9 = 144 \), so \( V = 144\pi\space\text{cm}^3 \).

Answer:

B. \( 144\pi\space\text{cm}^3 \)