Question

Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 inches. Use 3.14 as an approximation for pi and round your answer to the nearest hundredth, if necessary.(1 point)

Answer 1

thats wrong

Answer 2

The formula for the volume of a sphere is given by:

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

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

Since the diameter of the basketball is given as 9.2 inches, the radius \( r \) will be half of the diameter:

\[ r = \frac{d}{2} = \frac{9.2 \text{ inches}}{2} = 4.6 \text{ inches} \]

Now, we can calculate the volume:

\[ V = \frac{4}{3} \times 3.14 \times (4.6 \text{ inches})^3 \]

\[ V = \frac{4}{3} \times 3.14 \times (4.6 \text{ inches} \times 4.6 \text{ inches} \times 4.6 \text{ inches}) \]

\[ V = \frac{4}{3} \times 3.14 \times 97.336 \text{ inches}^3 \]

\[ V = 4.18666667 \times 3.14 \times 97.336 \]

\[ V \approx 1287.1693332 \text{ inches}^3 \]

Rounding to the nearest hundredth:

\[ V \approx 1287.17 \text{ inches}^3 \]

So, the volume of the basketball is approximately 1287.17 cubic inches.