Question

Please help!!! solve all three parts in the image. 30 PTS!!!

Answer 1

The volumes of the hemisphere, cone and the gigantic balloon are 3617.280 ft³ (Correct choice: B), 9043.200 ft³ (Correct choice: A) and 12660.480 ft³.

How to determine the volume of a gigantic balloon

In this question we find a gigantic balloon, whose volume is the sum of the volumes of a hemisphere and a cone, whose expressions are:

Hemisphere

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

Cone

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

Where:

• r - Radius
• h - Height
• V - Volume

Part A - The volume of the hemisphere is:

`V = (2\pi)/(3)\cdot (12 ft)^3`

V = 3617.280 ft³ (Correct choice: B)

Part B - The volume of the cone is:

`V = (\pi)/(3) \cdot (12 ft)^2 \cdot (60 ft)`

V = 9043.200 ft³ (Correct choice: A)

Part C - And the volume of the gigantic balloon is:

V = 3617.280 ft³ + 9043.200 ft³

V = 12660.480 ft³