Question

what is the volume of this sphere? round your answer to the nearest hundredth. 12 ft cubic feet

Explanation:

Step1: Find the radius

The diameter is 12 ft, so the radius $r=\frac{12}{2}=6$ ft.

Step2: Use the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 6$ into the formula: $V=\frac{4}{3}\pi(6)^{3}$.

Step3: Calculate the volume

First, $(6)^{3}=6\times6\times6 = 216$. Then $V=\frac{4}{3}\pi\times216$. $\frac{4}{3}\times216 = 288$. So $V = 288\pi$. Using $\pi\approx3.14159$, $V\approx288\times3.14159 = 904.77892$.

Step4: Round the answer

Rounding 904.77892 to the nearest hundredth gives 904.78.

Answer:

904.78