Question

Volume of sphere 8 yd, use π~3.14 round to nearest hundredth _____cubic yards

Answer 1

To find 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.

First, we need to find the radius from the diameter. Given that the sphere has a diameter of 8 yards, the radius \( r \) is half of the diameter:

\[
r = \frac{8}{2} = 4 \text{ yards}
\]

Now substitute \( r \) into the volume formula. Using \( \pi \approx 3.14 \), we have:

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

Calculating \( (4)^3 \):

\[
(4)^3 = 64
\]

Now substitute this back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 64
\]

Calculating \( 3.14 \times 64 \):

\[
3.14 \times 64 = 200.96
\]

Now multiply by \( \frac{4}{3} \):

\[
V = \frac{4 \times 200.96}{3} = \frac{803.84}{3} \approx 267.95
\]

Rounding to the nearest hundredth, the volume of the sphere is:

\[
\boxed{267.95} \text{ cubic yards}
\]