Question #912b3

1 Answer
Sep 5, 2017

Let's give it a shot.

Explanation:

The circumference is #2pir#, so #16pi = 2pir#

...divide both sides by #2pi#, giving r:

#(16pi)/(2pi) = r = 8 # inches

...now, the area of the circle is #pir^2#

# = pi * (8)^2 = pi * 64 # square inches

...and the volume of a cylinder 5 inches high with this circle as the base is:

#64pi * 5 = 320pi# cubic inches.

Ima let you plug in the numbers in your calculator to calculate everything out.

GOOD LUCK!