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Question

A circle is traced along the circumference of a sphere at the center like a latitude. A dot is plotted at the center. The radius measures 5 feet.

What is the volume of the sphere using 3.14 for pi and rounded to the nearest tenth?

(1 point)
Responses

62.8 ft.3
62.8 ft. cubed

104.7 ft.3
104.7 ft. cubed

523.3 ft.3
523.3 ft. cubed

4,188.8 ft.3

Answer 1

To calculate the volume of a sphere, you can use the formula:

\[ V = \frac{4}{3} \pi r^3 \]

Given that the radius \( r \) is 5 feet and using \( \pi \approx 3.14 \):

1. Calculate \( r^3 \): \[ r^3 = 5^3 = 125 \]

2. Plug \( r^3 \) into the volume formula: \[ V = \frac{4}{3} \times 3.14 \times 125 \]

3. Calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4}{3} \times 3.14 \approx 4.1867 \]

4. Now multiply it by 125: \[ V \approx 4.1867 \times 125 \approx 523.3375 \]

Rounding to the nearest tenth gives us:

\[ V \approx 523.3 \]

Thus, the volume of the sphere is 523.3 ft.³.