Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 14 in 5.6 in cubic inches submit

Explanation:

Step1: Identify radius from diameter

The given 14 in is the diameter, so radius $r = \frac{14}{2} = 7$ in.

Step2: Recall cylinder volume formula

Volume $V = \pi r^2 h$, where $h=5.6$ in.

Step3: Substitute values and calculate

$$\begin{align*} V &= \pi \times 7^2 \times 5.6\\ &= \pi \times 49 \times 5.6\\ &= 274.4\pi\\ &\approx 274.4 \times 3.1416 \end{align*}$$

Step4: Compute final value and round

$274.4 \times 3.1416 \approx 862.05$

Answer:

862.05 cubic inches