Question

Find the surface area and volume for the sphere. Use 3.14 for pi.
the redis is 63.
The surface area of the sphere is ___square inches.
The volume of the sphere is ___cubic inches.

Answer 1

To find the surface area and volume of a sphere, we use the following formulas:

1. **Surface Area (A)**:
\[
A = 4\pi r^2
\]

2. **Volume (V)**:
\[
V = \frac{4}{3}\pi r^3
\]

Given that the radius \( r = 63 \) inches and using \( \pi \approx 3.14 \):

### Calculation of Surface Area
First, calculate the surface area:

\[
A = 4 \times 3.14 \times (63)^2
\]

Calculating \( (63)^2 \):
\[
63^2 = 3969
\]

Now substitute that value into the surface area formula:
\[
A = 4 \times 3.14 \times 3969 = 12.56 \times 3969
\]

Calculating \( 12.56 \times 3969 \):
\[
A \approx 49998.84 \text{ square inches}
\]

### Calculation of Volume
Next, calculate the volume:

\[
V = \frac{4}{3} \times 3.14 \times (63)^3
\]

Calculating \( (63)^3 \):
\[
63^3 = 3969 \times 63 = 250047
\]

Now substitute that value into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 250047
\]

Calculating \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.18667
\]

Now calculate the volume:
\[
V \approx 4.18667 \times 250047 \approx 1041961.51
\]

### Final Answers
- The surface area of the sphere is approximately \( 49998.84 \) square inches.
- The volume of the sphere is approximately \( 1041961.51 \) cubic inches.

Thus:
- Surface area: \( 49998.84 \) square inches
- Volume: \( 1041961.51 \) cubic inches