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

(1 point)
Responses

523.3 ft.3
523.3 ft. cubed

104.7 ft.3
104.7 ft. cubed

62.8 ft.3
62.8 ft. cubed

4,188.8 ft.3

1 answer

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

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

You didn't provide a radius, but if we assume common radii, we can compute the volume accordingly.

  1. If we let \( r = 5 \) ft: \[ V = \frac{4}{3} \times 3.14 \times 5^3 = \frac{4}{3} \times 3.14 \times 125 = \frac{4}{3} \times 392.5 \approx 523.3 , \text{ft}^3 \]

  2. If we let \( r = 3 \) ft: \[ V = \frac{4}{3} \times 3.14 \times 3^3 = \frac{4}{3} \times 3.14 \times 27 = \frac{4}{3} \times 84.78 \approx 113.0 , \text{ft}^3 \]

  3. If we let \( r = 2 \) ft: \[ V = \frac{4}{3} \times 3.14 \times 2^3 = \frac{4}{3} \times 3.14 \times 8 = \frac{4}{3} \times 25.12 \approx 33.5 , \text{ft}^3 \]

  4. If we let \( r = 1 \) ft: \[ V = \frac{4}{3} \times 3.14 \times 1^3 = \frac{4}{3} \times 3.14 \times 1 = \frac{4}{3} \times 3.14 \approx 4.2 , \text{ft}^3 \]

It appears that the value that closely matches any of the given answers when using a radius of 5 ft is the volume of 523.3 ft³.

Thus, the volume of the sphere rounded to the nearest tenth is:

523.3 ft.³.