Calculate the volume of a sphere that has a diameter of 5 inches. Use 3.14 for pi and round to the nearest tenth.(1 point)

Question

inches3

Answer 1

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

$$V=\frac{4}{3}\pi r^3$$

where $r$ is the radius of the sphere. First, we need to find the radius, which is half of the diameter. Given a diameter of 5 inches:

$$r=\frac{5}{2}=2.5\text{ inches}$$

Now plug the radius into the volume formula:

$$V=\frac{4}{3}\pi (2.5{)}^3$$

Calculate $(2.5{)}^3$:

$$(2.5{)}^3=2.5\times 2.5\times 2.5=15.625$$

Now substitute this value into the volume formula:

$$V=\frac{4}{3}\times 3.14\times 15.625$$

Calculating $\frac{4}{3}\times 3.14$:

$$\frac{4}{3}\times 3.14\approx 4.1867$$

Now calculate the volume:

$$V\approx 4.1867\times 15.625\approx 65.278125$$

Rounding to the nearest tenth:

$$V\approx 65.3{\text{ inches}}^3$$

Thus, the volume of the sphere is approximately 65.3 inches³.