Question

Find the volume of the sphere.
Diameter: 20 cm
The radius of the sphere is ___. When I find the volume of the sphere the answer is ___.

Answer 1

To find the radius of the sphere, we can use the formula:

\[
\text{Radius} = \frac{\text{Diameter}}{2}
\]

Given that the diameter is 20 cm, the radius will be:

\[
\text{Radius} = \frac{20 \text{ cm}}{2} = 10 \text{ cm}
\]

Next, we can find the volume of the sphere using the formula:

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

Substituting the radius into the formula:

\[
V = \frac{4}{3} \pi (10 \text{ cm})^3
\]

Calculating \( (10 \text{ cm})^3 \):

\[
(10 \text{ cm})^3 = 1000 \text{ cm}^3
\]

Thus, the volume becomes:

\[
V = \frac{4}{3} \pi (1000 \text{ cm}^3)
\]

Now, calculating:

\[
V = \frac{4000}{3} \pi \text{ cm}^3
\]

Using an approximation for \(\pi\) (approximately 3.14):

\[
V \approx \frac{4000}{3} \times 3.14 \approx 4186.67 \text{ cm}^3
\]

Therefore, the radius of the sphere is **10 cm**, and when you find the volume of the sphere, the answer is approximately **4186.67 cm³**.