Question
The surface area of a sphere is $1386\ cm^2$. Its volume is.
✓
Answer
Surface area of sphere $=4\pi\text{r}^2$
Given surface area $= 1386\ cm^2$
$\Rightarrow4\times\frac{22}{7}\times\text{r}^2=1386$
$\Rightarrow\text{r}^2=\frac{1386\times7}{88}=\frac{441}{4}$
$\Rightarrow\text{r}=\frac{21}{2}$
Volume of sphere $=\frac{4}{3}\pi\text{r}^3$
Volume $=\frac{4}{3}\pi\Big(\frac{21}{2}\Big)^3$
$=\frac{4}{3}\times\frac{22}{7}\times\Big(\frac{21}{2}\Big)^3$
$=4851\text{ cm}^2$
Given surface area $= 1386\ cm^2$
$\Rightarrow4\times\frac{22}{7}\times\text{r}^2=1386$
$\Rightarrow\text{r}^2=\frac{1386\times7}{88}=\frac{441}{4}$
$\Rightarrow\text{r}=\frac{21}{2}$
Volume of sphere $=\frac{4}{3}\pi\text{r}^3$
Volume $=\frac{4}{3}\pi\Big(\frac{21}{2}\Big)^3$
$=\frac{4}{3}\times\frac{22}{7}\times\Big(\frac{21}{2}\Big)^3$
$=4851\text{ cm}^2$
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