Find the height (in meters) of a storage tank in the shape of a right circular cylinder that has a circumference measuring 4𝜋 m and a volume measuring 20𝜋 m3.

Question

Find the height (in meters) of a storage tank in the shape of a right circular cylinder that has a circumference measuring 4𝜋 m and a volume measuring 20𝜋 m³.

( PLEASE HELP ME I CAN'T FIND ANYTHING IN THE BOOK)

Answer 1

V=20pi

V=hA = hpi(r)^2 = volume = height times radius squared times pi

C=4pi = 2pi(r) = circumference= pi times twice radius

4pi=2pir

2 = r = radius

V=20pi = hpi(2)^2 = 4hpi

20pi = 4hpi

5 = h = height

height =5 meters

V=20pi = 5(pi)(2)^2 = 5pi(4)