Question

a cylinder has a diameter of 6 cm and a height of 7 cm. what is the volume of the cylinder? use 3.14 for pi, and round your answer to the nearest hundredth. 65.94 cm³ 131.88 cm³ 197.82 cm³ 791.28 cm³

Explanation:

Step1: Find the radius

The diameter $d = 6$ cm, and the radius $r=\frac{d}{2}=\frac{6}{2}=3$ cm.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 3$ cm, $h=7$ cm and $\pi = 3.14$ into the formula. So $V=3.14\times3^{2}\times7$.
First calculate $3^{2}=9$, then $V=3.14\times9\times7$.
$3.14\times9 = 28.26$, and $28.26\times7=197.82$ $cm^{3}$.

Answer:

$197.82$ $cm^{3}$