Question

You are given a sphere with a diameter of 4 feet. What is the volume?

Question 3 options:

129.3 ft³


33.5 ft³


445.1 ft³

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 sphere is 4 feet, the radius \( r \) will be:

\[
r = \frac{\text{diameter}}{2} = \frac{4 \text{ ft}}{2} = 2 \text{ ft}
\]

Now, substitute the radius into the volume formula:

\[
V = \frac{4}{3} \pi (2)^3
\]

Calculating \( (2)^3 \):

\[
(2)^3 = 8
\]

Now substitute that into the volume formula:

\[
V = \frac{4}{3} \pi (8)
\]
\[
V = \frac{32}{3} \pi
\]

Using \( \pi \approx 3.14159 \):

\[
V \approx \frac{32}{3} \times 3.14159 \approx 33.51 \text{ ft}^3
\]

Thus, rounding to one decimal place, the volume is approximately:

\[
33.5 \text{ ft}^3
\]

So, the correct answer is:

**33.5 ft³**