Question

find the volume of each figure. round your answers to the nearest tenth, if necessary.
9)
10)
11)
12)
13)
14)

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Calculate the volume for problem 9

Given \(r = 21.6\space cm\).
Substitute \(r\) into the formula:

$$
LATEXBLOCK0
$$

Step3: Calculate the volume for problem 10

Given \(r = 16\space in\).
Substitute \(r\) into the formula:

$$
LATEXBLOCK1
$$

Step4: Calculate the volume for problem 11

Given \(r = 12\space mi\).
Substitute \(r\) into the formula:

$$
LATEXBLOCK2
$$

Step5: Calculate the volume for problem 12

Given \(r = 7\space in\).
Substitute \(r\) into the formula:

$$
LATEXBLOCK3
$$

Step6: Calculate the volume for problem 13

Given \(r = 24\space in\).
Substitute \(r\) into the formula:

$$
LATEXBLOCK4
$$

Step7: Calculate the volume for problem 14

Given \(r = 6\space mi\).
Substitute \(r\) into the formula:

$$
LATEXBLOCK5
$$

Answer:

1. \(42293.0\space cm^{3}\)
2. \(17148.6\space in^{3}\)
3. \(7234.6\space mi^{3}\)
4. \(1436.0\space in^{3}\)
5. \(57905.3\space in^{3}\)
6. \(904.3\space mi^{3}\)