The diameter of a sphere is 15 inches. What is the
volume of the sphere, to the nearest tenth of a
cubic inch?
1) 706.9
2) 1767.1
3) 2827.4
4) 14,137.2



Answer :

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