Question

a right - circular cylinder has a radius of 6 inches and a height of 5 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=square) cubic inches.
(round to the nearest hundredth as needed.)

Explanation:

Step1: Recall volume formula for cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$, where $r = 6$ inches and $h = 5$ inches.

Step2: Substitute values into volume formula

$V=\pi\times(6)^{2}\times5=\pi\times36\times5 = 180\pi\approx180\times3.14159 = 565.4864\approx565.5$ cubic - inches.

Answer:

$565.5$