Problema Solution
A cone has volume V=1/3πr^2h,where ris the radius of the cone's base and his the height of the cone. Find the height in centimeters of a cone with volume 108πcm3and radius 9centimeters.
Answer provided by our tutors
V = 108π cm^3
r = 9 cm
h = ?
V=1/3πr^2h
180π = 1/3π9^2h
1/3π9^2h = 180π divide both sides by 1/3π9^2
h = 180π/((1/3)π9^2))
h = 6.67 cm
the height is 6.67 cm.