Question

Find the surface area of a sphere with a radius of 3.6 ft use 3.14 for pi round your answer to the nearest hundredth if necessary

a) 407.52 sq. ft.
b) 405.36 sq. ft.
c) 412.34 sq. ft.
d) 400.12 sq. ft.

Answer 1

The surface area of a sphere with a 3.6 ft radius, using 3.14 for pi, is 651.44 sq. ft. after performing the calculation 4 * 3.14 * (3.6)^2. The provided answer choices do not match this calculation and therefore might be incorrect, or there may have been a mistake in the calculation.

Step-by-step explanation:

The question asks for the surface area of a sphere with a radius of 3.6 ft, using 3.14 for pi. To find the surface area, the formula 4(pi)r² is used. In this case, the calculation would be 4 * 3.14 * (3.6)². Following these steps:

1. Calculate the radius squared: (3.6 ft) ² = 12.96 ft².
2. Multiply this by 4 and pi: 4 * 3.14 * 12.96 ft².
3. Perform the calculation: 4 * 3.14 * 12.96 ft² = 162.86 ft² * 4 = 651.44 ft².
4. Round the final answer to the nearest hundredth, if necessary.

Therefore, the surface area of a sphere with a radius of 3.6 ft is approximately 651.44 sq. ft..

However, it seems like there could be an error since none of the provided answer choices match the calculated value. It may be beneficial to double-check the formula and the calculations or to verify the answer choices given.