Question

A right cylinder has a height of 20 1/2ft and a diameter of 1 1/5 times it's height what is the volume of the cylinder? Use 3.14 for pi

Answer 1

volume (V) of a cylinder is the area of circular base (pi×r^2) times it's length/height (h):

`V = \pi {r}^(2) (h) \: \: \pi = 3.14`
h = 20.5 ft
diameter (d) = 1 1/5 × h, 1 1/5 = 6/5 = 1.20
d = 1.20 × 20.5 = 24.6 ft
radius (r) = 1/2 d = 24.6/2 = 12.3 ft

`V = \pi {r}^(2) (h) \\ V = 3.14 ({12.3}^(2)) (20.5) \\ V = 3.14 (151.29) (20.5) \\ V = 475.05 (20.5) = 9738.54 \: {ft}^(3)`