Middle School

PLEASE HELP



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

Answer :

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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