Question

volume of a sphere
the volume of a sphere with radius r is given by the formula v = \frac{4}{3}\pi r^{3}.
find the volume of a sports ball with radius 9 cm is cm.^{3}
use 3.14 or the \pi key on your calculator.
round your answer to the nearest tenth if necessary.

Explanation:

Step1: Substitute radius value

Given $r = 9$ cm and the volume formula $V=\frac{4}{3}\pi r^{3}$, substitute $r$ into the formula: $V=\frac{4}{3}\pi(9)^{3}$.

Step2: Calculate $(9)^{3}$

$(9)^{3}=9\times9\times9 = 729$. So $V=\frac{4}{3}\pi\times729$.

Step3: Calculate $\frac{4}{3}\times729$

$\frac{4}{3}\times729 = 4\times243=972$. So $V = 972\pi$.

Step4: Substitute $\pi$ value

Using $\pi = 3.14$, we have $V=972\times3.14 = 3052.08$.

Step5: Round to nearest tenth

Rounding $3052.08$ to the nearest tenth gives $3052.1$.

Answer:

$3052.1$