Question

Use the image to answer the question.

A circle is traced along the circumference of a sphere at the center like a latitude. A dot is plotted at the center. The radius measures 3 centimeters.

Calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth.

(1 point)
Responses

904.3 cm3
904.3 cm cubed

113.0 cm3
113.0 cm cubed

75.4 cm3
75.4 cm cubed

37.7 cm3

Answer 1

The volume \( V \) of a sphere is calculated using the formula:

\[
V = \frac{4}{3} \pi r^3
\]

where \( r \) is the radius of the sphere.

Given:
- Radius \( r = 3 \) cm
- Using \( \pi \approx 3.14 \)

First, calculate \( r^3 \):

\[
r^3 = 3^3 = 27
\]

Now substitute \( r^3 \) and \( \pi \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 27
\]

Calculating \( \frac{4}{3} \times 27 \):

\[
\frac{4 \times 27}{3} = \frac{108}{3} = 36
\]

Now substitute this value back into the volume formula:

\[
V = 36 \times 3.14 \approx 113.04
\]

Rounding to the nearest tenth:

\[
V \approx 113.0 \, \text{cm}^3
\]

So the correct response is:

**113.0 cm³**