Question

a right - circular cylinder has a radius of 5 inches and a height of 8 inches. decrease the height and radius by 10%. use the formulas (v=pi r^{2}h) and (sa = 2pi rh+2pi r^{2}) to answer parts a through d below.
a. find the volume v and surface area sa of the original cylinder.
the volume is (v=\text{ cubic inches}).
(round to the nearest hundredth as needed.)

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r = 5$ inches and $h = 5$ inches.
$$V=\pi\times5^{2}\times5$$

Step2: Calculate volume

$V=\pi\times25\times 5=125\pi\approx 125\times3.14159 = 392.699\approx392.70$ cubic inches.

Answer:

$392.70$