Question

what is the volume of this 3 - d figure? 3 ft. 113.04 square feet 37.68 square feet 37.68 cubic feet 113.04 cubic feet

Explanation:

Step1: Recall the volume formula for a sphere

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

Step2: Identify the radius

The radius \( r = 3\) ft.

Step3: Substitute the radius into the formula

Substitute \( r = 3\) into \( V=\frac{4}{3}\pi r^{3}\), we get \( V=\frac{4}{3}\times\pi\times3^{3}\).
First calculate \( 3^{3}=27\), then \( \frac{4}{3}\times27 = 36\). So \( V = 36\pi\).
Taking \( \pi\approx3.14\), then \( V\approx36\times3.14=113.04\) cubic feet. (Note: Volume has cubic units, so we can eliminate the options with square units. And calculation shows the correct value is 113.04 cubic feet)

Answer:

113.04 cubic feet