Question

what is the volume of this sphere? round your answer to the nearest hundredth. 33.2 ft cubic feet save answer use previous answer

Explanation:

Step1: Find sphere radius

The diameter is 33.2 ft, so radius $r = \frac{33.2}{2} = 16.6$ ft

Step2: Apply sphere volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^3$. Substitute $r=16.6$:
$$V = \frac{4}{3}\pi (16.6)^3$$

Step3: Calculate the value

First compute $16.6^3 = 16.6 \times 16.6 \times 16.6 = 4574.296$
Then $V = \frac{4}{3} \times \pi \times 4574.296 \approx \frac{4}{3} \times 14369.39 \approx 19159.19$

Answer:

19159.19 cubic feet