find the volume of the cone with the diameter of 10 and the height of 8

Question

Find the VOLUME and the diameter is 10 the height is 8. The shape is a cone and the slant height is 8.

Answer 1

height = h

h^2 = 8^2 - 5^2 = 64-25 = 39

h=sqr39

radius = (1/2)10 = 5

Volume = (1/3)hpi(r^2) = (1/3)sqr39(pi)(25)

= (25/3)sqr(39)pi = about 163.5 cubit units