Question

Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x

Answer 1

120π cm³
Work is shown below.

Explanation:

Hello!

Use the formula to find the volume of the cone, then subtract the volume of the cylinder from it.

Volume of the Cone

Plug in the values and solve for the volume.

• 
  `V = \frac13 \pi r^2h`
• 
  `V = \frac13 \pi(6^2)(14)`
• 
  `V = \frac13(504)\pi`
• 
  `V = 168\pi`

The volume of the cone in terms of pi is 168π cm³.

Volume of the Cylinder

Formula:
`V = \pi r^2h`

Plug in the values and solve for the volume.

• 
  `V = \pi r^2h`
• 
  `V = \pi (4^2)(3)`
• 
  `V = \pi (48)`
• 
  `V = 48\pi`

The volume of the cylinder in terms of pi is 48π cm³.

Total Volume

• 168π cm³ - 48π cm³

• 120π cm³

The total volume is 120π cm³.