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

$V = r^2\frac{h}{3} \pi$

After putting in the information that we already know we get

$16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2$

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

$V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi$