Question

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A cylinder has a radius of 9 inches and is 12 inches tall. What is the approximate volume of the cylinder? Express the answer in terms of π. Recall the formula V = πr 2h. Show work.

Answer 1

if you convert inches to cm...

Explanation:

9inch=22.86cm

12inch=30.48cm

V=TTr²h

TT= 3.14

V= 3.14×22.86²×30.48

V= 50014.6cm³

if you don't convert inches to cm...

V=TTr²h

V=3.14 ×9×12

V=339.12cm³

Answer 2

The approximate volume of the cylinder is 972 π cubic inches.

How to determine the volume of cylinder.

A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface.

Given

Volume of a cylinder is given by V = πr²h

where

r is the radius

h is the height.

r = 9 inches

h = 12 inches

Substitute these values into the formula:

V = π(9)² *12

V = π*81*12

V = 972π

So, the approximate volume of the cylinder is 972 π cubic inches.