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What is the exact volume of the cylinder?

A.
18π in3

B.
36π in3

C.
54π in3

D.
63π in3


PLEASE HELP What Is The Exact Volume Of The Cylinder A 18π In3 B 36π In3 C 54π In3 D 63π In3 class=

Sagot :

THE VOLUME OF A CYLINDER IS
V=π R^2 H
WE HAVE h= 6 in
r=3 in
V= π*9*6=54 π in^3
choice C

Volume is the space occupied by the cylinder. The volume of the cylinder with a radius of 3 inches and height of 6 inches is 54π in³.

What is the volume of the cylinder?

The volume of the cylinder is the space occupied by the cylinder. It is given as,

[tex]\text{Volume of the cylinder} = \pi r^2h[/tex]

As we can see in the image that the radius of the cylinder is 3 in while the height of the cylinder is 6 in, therefore, the volume of the cylinder can be written as,

[tex]\text{Volume of the cylinder} = \pi r^2h\\\\\text{Volume of the cylinder} = \pi \times (3)^2 \times6[/tex]

                                    [tex]= \pi \times 9 \times6\\\\= 54\pi\rm\ in^3[/tex]

Hence, the volume of the cylinder with a radius of 3 inches and height of 6 inches is 54π in³.

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