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1 vote
The figure is made up of a hemisphere and a cone.

What is the exact volume of the figure.

A. 2413.71π in³
or
B. 768π in³

**Please show steps**

The figure is made up of a hemisphere and a cone. What is the exact volume of the-example-1

2 Answers

5 votes

Answer:

768π

from k12

User Furkan Kambay
by
6.0k points
4 votes

Answer:

The answer to your question is: 2413.7

Explanation:

Data

radius = 8 in

height = 20 in

π = 3.14

Formula

Volume sphere = 4/3 π r³

Volume cylinder = 1/3 π r²h

Process

Volume of sphere = 4/3 (3.14)(8)³

= 2143.57 in³

But the figure has only half of the sphere; V = 1071.8 in³

Volume of the cylinder = 1/3 (3.14)(8)²(20)

= 1339.7 in³

Total volume = 1071.8 + 1339.7

= 2411.5 in³

My result is a little bit different than one of the options.

User Dlink
by
6.4k points