Question

What is the volume of the sphere using 3.14 for pi and rounded to the nearest tenth? (the circle is 5 feet)

(1 point)
Responses

523.3 ft.3
523.3 ft. cubed

104.7 ft.3
104.7 ft. cubed

4,188.8 ft.3
4,188.8 ft. cubed

62.8 ft.3
62.8 ft. cubed

Answer 1

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

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

where \( V \) is the volume and \( r \) is the radius of the sphere.

Given that the diameter of the circle is 5 feet, the radius would be:

\[
r = \frac{5}{2} = 2.5 \text{ feet}
\]

Now plug in the radius and π (using 3.14) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times (2.5)^3
\]

First, calculate \( (2.5)^3 \):

\[
(2.5)^3 = 2.5 \times 2.5 \times 2.5 = 15.625
\]

Now, substitute this back into the volume equation:

\[
V = \frac{4}{3} \times 3.14 \times 15.625
\]

Next, calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

Now, multiply this by 15.625:

\[
V \approx 4.1867 \times 15.625 \approx 65.5
\]

Hence, the approximate volume of the sphere is:

\[
V \approx 65.5 \text{ ft}^3
\]

This means none of the provided options match the calculated volume. Would you like me to double-check the answers or calculations?