Question

Find the surface area and volume of a sphere that has a radius of
69
69 inches. Use 3.14 for π. Do not round your answer. Click Here for Help Video



The sphere's surface area is
square inches.



The sphere's volume is
cubic inches.

Answer 1

To calculate the surface area and volume of a sphere, you can use the following formulas:

1. Surface Area (A) = \(4 \pi r^2\)
2. Volume (V) = \(\frac{4}{3} \pi r^3\)

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

Given that the radius \(r = 69\) inches and using \( \pi \approx 3.14\):

### Surface Area Calculation
\[
A = 4 \pi r^2
\]
\[
A = 4 \times 3.14 \times (69)^2
\]
Calculating \( (69)^2 = 4761\):
\[
A = 4 \times 3.14 \times 4761 = 4 \times 14916.34 = 59665.36 \text{ square inches}
\]

### Volume Calculation
\[
V = \frac{4}{3} \pi r^3
\]
\[
V = \frac{4}{3} \times 3.14 \times (69)^3
\]
Calculating \( (69)^3 = 328509\):
\[
V = \frac{4}{3} \times 3.14 \times 328509
\]
Calculating \(3.14 \times 328509 = 1030056.26\):
\[
V = \frac{4}{3} \times 1030056.26 = 1360074.347 \text{ cubic inches}
\]

### Final Results
- The sphere's surface area is **59665.36 square inches**.
- The sphere's volume is **1360074.347 cubic inches**.