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Surface Area and Volume — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsSurface Area and Volume1 Mark
Question
Find the radius of a sphere whose volume is$113040 \text { cubic } \mathrm{cm} .(\pi=3.14)$
✓

Answer

Volume of sphere $=\frac{4}{3} \pi r^3$
$
\begin{aligned}
113040 & =\frac{4}{3} \times 3.14 \times r^3 \\
\frac{113040 \times 3}{4 \times 3.14} & =r^3 \\
\frac{28260 \times 3}{3.14} & =r^3 \\
\therefore 9000 \times 3 & =r^3 \\
\therefore \quad r^3 & =27000 \\
\therefore \quad r & =30 \mathrm{~cm}
\end{aligned}
$
$\therefore$ radius of sphere is $30 \mathrm{~cm}$.

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