Question

Find the volume of a sphere with a radius of 1.8 yards. Leave your answer in terms of pi. Round your answer to the nearest hundredth, if necessary.(1 point) Responses 24.43π yds3 24.43 pi yds cubed 7.78π yds3 7.78 pi yds cubed 7.2π yds3 7.2 pi yds cubed 23.34π yds3

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

The volume \( V \) of a sphere with radius \( r \) is given by the formula:

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

Given that the radius \( r \) of the sphere is 1.8 yards, we can substitute this value into the formula:

\[ V = \frac{4}{3}\pi (1.8)^3 \]

First, we calculate \( (1.8)^3 \):

\[ (1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]

Now we plug this value back into the volume formula:

\[ V = \frac{4}{3}\pi \times 5.832 \]

\[ V = \frac{4}{3} \times \pi \times 5.832 \]

\[ V = \frac{4 \times 5.832}{3} \pi \]

\[ V = \frac{23.328}{3} \pi \]

\[ V = 7.776 \pi \]

Rounded to the nearest hundredth:

\[ V \approx 7.78 \pi \]

So the volume of the sphere is approximately 7.78 pi cubic yards.