Question

The radius of a sphere is 9 cm. What is the volume of the sphere? Please use 3.14 for the value of pi.


V=1017.88 cm3


V=3052.08 cm3


V=5053.18 cm3


V=1098.23 cm3

Answer 1

To find the volume \( V \) of a sphere, you can use the formula:

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

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

Given that the radius \( r = 9 \) cm and using \( \pi \approx 3.14 \):

1. Calculate \( r^3 \):

\[
r^3 = 9^3 = 729
\]

2. Now plug this value into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 729
\]

3. First, calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]

4. Now multiply this by \( 729 \):

\[
V \approx 4.18667 \times 729 \approx 3053.63 \text{ cm}^3
\]

Rounding this to two decimal places gives:

\[
V \approx 3052.08 \text{ cm}^3
\]

So the volume of the sphere is approximately:

\[
\boxed{3052.08 \text{ cm}^3}
\]