The volume of a right circular cylinder varies jointly as the height and the square of radius of the base.

Question

If a right circular cylinder has measurements V=3014.40 cubic feet, r=8 feet and h=15 feet, whats volume of a right circular cylinder with a radius of 34 feet and height of 17 feet.

Answer 1

V = kπr²h

3014.4 = kπ(8)²(15)

So k = 3.14 / π

V = 3.14r²h

So, if r = 34 and h = 17, V = 3.14(34)²(17) = 61707.28

Answer 2

r=34'

h=17'

r^2pi*h=vol

61738.578............cu/ft