To calculate the surface area and volume of a sphere, you can use the following formulas:
- Surface Area (A) = \(4 \pi r^2\)
- 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.