Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
9 yd
cubic yards

Explanation:

Step1: Recall sphere volume formula

The formula for the volume $V$ of a sphere is $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Substitute radius $r=9$ yd

$$V = \frac{4}{3}\pi (9)^3$$

Step3: Calculate $9^3$ first

$9^3 = 729$, so $V = \frac{4}{3}\pi \times 729$

Step4: Simplify the coefficient

$\frac{4}{3} \times 729 = 4 \times 243 = 972$, so $V = 972\pi$

Step5: Compute numerical value

$972 \times 3.14159265 \approx 3053.63$

Answer:

3053.63 cubic yards