Question

what is the volume of this sphere? round your answer to the nearest hundredth. 24 yd 7238.23 cubic yards submit

Explanation:

Step1: Identify sphere radius

The given value is the radius $r=24$ yd.

Step2: Use sphere volume formula

The volume formula is $V = \frac{4}{3}\pi r^3$.
Substitute $r=24$:

$$ V = \frac{4}{3}\pi (24)^3 $$

Step3: Calculate $24^3$

$24^3 = 24\times24\times24 = 13824$

Step4: Compute volume

$$ V = \frac{4}{3}\pi \times13824 = 18432\pi \approx 18432\times3.1415926535 = 57905.83579 $$

Step5: Round to nearest hundredth

Round $57905.83579$ to two decimal places.

Answer:

$\boldsymbol{57905.84}$ cubic yards