A cylinder has a volume of 320 cubic inches and a height of 5 inches.
What is the radius of the cylinder?
O A. 4 inches
B. 8 inches
C. 16 inches
D. 32 inches

Respuesta :

Answer:

The radius is 8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Assuming you mean 320 pi for the volume

320  pi = pi r^2 ( 5)

320 =5pi r^2

Divide each side by 5pi

320 pi / 5pi = 5 pi r^2 / 5pi

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

The radius is 8 inches

Answer:

[tex]\Huge \boxed{\mathrm{4.51 \ inches}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2 h[/tex]

The volume is 320 in³.

The height is 5 in.

[tex]320=\pi r^2 * (5)[/tex]

Solving for [tex]r[/tex].

Dividing both sides by 5.

[tex]64=\pi r^2[/tex]

Dividing both sides by [tex]\pi[/tex].

[tex]20.371833=r^2[/tex]

Taking the square root of both sides.

[tex]r= 4.513517[/tex]

The radius is 4.51 inches.

[tex]\rule[225]{225}{3}[/tex]

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