Question

Find the volume of a sphere witha radius of 1.8 yards Leave your answer iin terms of pi Round your answer to the nnearest hundreth if necessary
24.43pi
7.78pi
23.34pi
7.2pi

Answer 1

just wanna make sure thats the right answer correct?

Answer 2

To find 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.

In this case, the radius \( r \) is 1.8 yards.

Now, let's calculate the volume step by step:

1. Calculate \( r^3 \):
\[
(1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832
\]

2. Multiply by \( \frac{4}{3} \pi \):
\[
V = \frac{4}{3} \pi (5.832) = \frac{4 \times 5.832}{3} \pi
\]
\[
V = \frac{23.328}{3} \pi \approx 7.776 \pi
\]

Rounding \( 7.776 \pi \) to the nearest hundredth gives approximately \( 7.78 \pi \).

Thus, the correct answer is **7.78π**.

Answer 3

Yes, I can confirm that the calculations are correct.

To recap the calculation for the volume of the sphere with a radius of 1.8 yards:

1. Calculate \( r^3 \):
\[
(1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832
\]

2. Apply the volume formula:
\[
V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (5.832)
\]
\[
V = \frac{4 \times 5.832}{3} \pi = \frac{23.328}{3} \pi \approx 7.776 \pi
\]

3. Rounding \( 7.776 \pi \) to the nearest hundredth gives \( 7.78 \pi \).

This matches one of the options you provided. So, the correct answer is indeed **7.78π**.