Question

Find the variable in the figure. The diagram is not to scale.
Volume=16π

Answer 1

r = 2

The volume of a cone can be found using the following equation

`V = r^2(h)/(3) \pi`

After putting in the information that we already know we get

`16\pi = r^2(12)/(3) \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\`

For proof's sake, we can try the equation again with the information we know

`V = r^2(h)/(3) \pi \\V = 2^2(12)/(3) \pi \\V =4(4) \pi \\V = 16\pi`