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A cylinder has a radius of 12 m and a height of 9 m. What is the exact volume of the cylinder?

A. 216 Pi


B. 108 Pi


C. 972 Pi


D. 1296 Pi


Sagot :

iGreen
V = pi * r^2 * h

V = pi * 12^2 * 9

V = pi * 144 * 9

V = pi * 1296

V = 1296 pi

Answer: D. 1296 Pi

Step-by-step explanation:

Given: The radius of the cylinder r = 12 m

The height of the cylinder h = 9 m

The volume of the cylinder is given by :-

[tex]\text{Volume }=\pi r^2h\\\Rightarrow\ \text{Volume }=\pi\times(12)^2\times9\\\Rightarrow\ \text{Volume }=\pi\times1296\\\Rightarrow\ \text{Volume }=1296\pi[/tex]

Hence, D is the right option, the volume of the given cylinder is 1296 Pi.