Question

Calculate the volume of a sphere that has a diameter of 15 cm using 3.14 for pi and round to the nearest tenth.(1 point)
Responses

14, 130.0 cm3
14, 130.0 cm cubed

94.2 cm3
94.2 cm cubed

235.5 cm3
235.5 cm cubed

1, 766.3 cm3

Answer 1

To calculate the volume of a sphere, you can use the formula:

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

where \( V \) is the volume and \( r \) is the radius of the sphere.

1. First, find the radius. Since the diameter is 15 cm, the radius \( r \) is half of the diameter:

\[
r = \frac{15}{2} = 7.5 \text{ cm}
\]

2. Next, plug the radius into the volume formula using \( \pi \approx 3.14 \):

\[
V = \frac{4}{3} \times 3.14 \times (7.5)^3
\]

3. Calculate \( (7.5)^3 \):

\[
(7.5)^3 = 7.5 \times 7.5 \times 7.5 = 421.875
\]

4. Now substitute this back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 421.875
\]

5. Multiply:

\[
3.14 \times 421.875 \approx 1323.525
\]

6. Then, multiply by \( \frac{4}{3} \):

\[
V = \frac{4}{3} \times 1323.525 \approx 1764.7
\]

7. Round to the nearest tenth:

\[
V \approx 1764.7 \text{ cm}^3
\]

So the answer is:

**1, 766.3 cm³**