If \(4 \pi \pi^{3} / 3=128.1\), then what is \(4 \pi r^{2}\) ?
A. 132
B. 123
C. 213
D. 321
Correct Answer: B
Explanation
\(4 \pi^{3} / 3 \Rightarrow 128.1\)iniling both sides by \(4 \pi / 3\)
\begin{aligned}
\Rightarrow & \frac{3 \times 128.1}{4 \pi} \\
\Rightarrow & \frac{3 \sqrt[3]{3 \times \frac{128.1}{4 \pi}}}{4} \\
&-\frac{\sqrt[3]{3} \times 128.1 \times 7}{4 \times 22}
\end{aligned}
\begin{aligned}
&=3.13 \\
\therefore 4 \pi r^{2}=& 4 \times 22 / 7 \times(3.13)^{2} \\
& \approx 123 \quad \text {}
\end{aligned}