Question

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters. What is its

radius?

Answer 1

r≈5.36656314

Explanation:

Since A=πr(r+
`√(h^2+r^2)`) so we get that 226.08/pi≈72 or 226.08/3.14=72 we then plug it in to get 72=r(r+
`√(36+r^2)`) so we get r≈5.36656314

Answer 2

r = 6 mm

Explanation:

h = 6 mm

Volume of cone = 226.08 cubic mm

`(1)/(3)*\pi *r^(2)*h = 226.08\\\\(1)/(3)* 3.14 *r^(2)*6 = 226.08\\\\3.14*r^(2)*2=226.08\\\\r^(2)=(226.08)/(2*3.14)\\\\r^(2)=36\\r=√(36)\\`

r = 6 mm