Question

A cone with a height of 15 yards has a volume of 475.17yd^3. Find the diameter of the cone in yards.

Answer 1

Explanation:

h = 15 yards

Volume = 475.17 cubic yards

`(1)/(3)\pi r^(2)h=475.17\\\\(1)/(3)*3.14*r^(2)*15=475.17\\\\r^(2)=(475.17*3)/(3.14*15)\\\\r^(2)=30.27\\\\r=√(30.27)`

r = 5.5 yards

Diameter = 5.5*2 = 11.0 = 11 yards