Question

volume of sphere radius 10.6 in cubic feet

Answer 1

To calculate 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 the radius \( r = 10.6 \) feet, you can plug the value into the formula:

\[
V = \frac{4}{3} \pi (10.6)^3
\]

First, calculate \( (10.6)^3 \):

\[
10.6^3 = 10.6 \times 10.6 \times 10.6 \approx 1197.576
\]

Now, substituting this value back into the volume formula:

\[
V \approx \frac{4}{3} \pi (1197.576) \approx \frac{4}{3} \times 3.14159 \times 1197.576
\]

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

\[
\frac{4}{3} \times \pi \approx \frac{4 \times 3.14159}{3} \approx 4.18879
\]

Now multiply this by the volume:

\[
V \approx 4.18879 \times 1197.576 \approx 5008.67
\]

Thus, the volume of the sphere with a radius of 10.6 feet is approximately \( 5008.67 \) cubic feet.