To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
Given that the diameter of the sphere is 15 inches, you first need to find the radius by dividing the diameter by 2:
\[ r = \frac{15}{2} = 7.5 \text{ inches} \]
Now, substitute the radius (7.5 inches) into the formula:
\[ V = \frac{4}{3} \pi (7.5)^3 \]
\[ V = \frac{4}{3} \times \pi \times 421.875 \]
\[ V = \frac{4}{3} \times 3.14159 \times 421.875 \]
\[ V ≈ 2827.433388 \text{ cubic inches} \]
Rounded to the nearest tenth of a cubic inch, the volume of the sphere is approximately 2827.4 cubic inches. Therefore, the correct option is:
3) 2827.4
