Question

Geometry practice please show work

Answer 1

Answer: 670 ft

Step-by-step explanation:

We essentially have a cylinder and a cone that we can break the shape down into.

Volume of cylinder = $\pi r^{2} h$

Volume of cone = $\pi r^{2} \frac{h}{3}$

Volume of that shape =  $\pi r^{2} h + \pi r^{2} \frac{h}{3}$

Radius = $\frac{diameter}{2} = 4$

Height of cylinder = 12

Height of cone = 16 - 12 = 4

Volume of cylinder = $\pi*4^{2}* 12 = 192\pi$

Volume of cone = $\pi*4^{2}*\frac{4}{3} = \frac{64}{3}\pi$

Volume of shape = $\frac{64}{3} \pi +192\pi$

= $21.3\pi +192\pi = 213.3\pi$

or 670.1 feet