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 1, 766.3 cm3 1, 766.3 cm cubed 235.5 cm3 235.5 cm cubed 94.2 cm3 94.2 cm cubed 14, 130.0 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 from the diameter:
\[
\text{Diameter} = 15 \text{ cm} \implies \text{Radius} (r) = \frac{\text{Diameter}}{2} = \frac{15}{2} = 7.5 \text{ cm}
\]

2. Now, 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 \( (7.5)^3 \):
\[
(7.5)^3 = 421.875
\]

4. Now calculate the volume:
\[
V = \frac{4}{3} \times 3.14 \times 421.875
\]
\[
V \approx \frac{4}{3} \times 3.14 \times 421.875 \approx \frac{4 \times 3.14 \times 421.875}{3}
\]
\[
\approx \frac{4 \times 3.14 \times 421.875}{3} \approx \frac{5297.4375}{3} \approx 1765.8125 \text{ cm}^3
\]

5. Rounding to the nearest tenth:
\[
V \approx 1765.8 \text{ cm}^3
\]

Based on the options provided, the closest answer to the calculated volume is **1, 766.3 cm³**.