a cylinder has a base radius of 5 inches and a height of 7 inches. what is its volume in cubic inches, to…

a cylinder has a base radius of 5 inches and a height of 7 inches. what is its volume in cubic inches, to the nearest tenths place?

a cylinder has a base radius of 5 inches and a height of 7 inches. what is its volume in cubic inches, to the nearest tenths place?

Answer

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

$r=5$, $h=7$, so $V = \pi \times 5^2 \times 7$ $V = \pi \times 25 \times 7 = 175\pi$

Step3: Calculate numerical value

$175\pi \approx 175 \times 3.14159 = 549.77875$

Step4: Round to nearest tenth

Round $549.77875$ to one decimal place.

Answer:

549.8 cubic inches