MCQ
The volume of a sphere is $388080\ cm^3$. Its curved surface area is.
- A$4158\ cm^2$
- B$8316\ cm^2$
- C$1386\ cm^2$
- ✓$5544\ cm^2$
✓
Answer
Correct option: D.
$5544\ cm^2$
Volume of a sphere $=\frac{4}{3}\pi\text{r}^3$
Given Volume $=38808\ cm^3$
$\Rightarrow\frac{4}{3}\pi\text{r}^3=38808$
$\Rightarrow\text{r}^3=38808\times\frac{21}{88}=9261$
$\Rightarrow\text{r}=21\text{cm}$
Surface area of a sphere $=4\pi\text{r}^3$
Surface area $=4\times\frac{22}{7}(21)^2=5544\text{cm}^2$
Given Volume $=38808\ cm^3$
$\Rightarrow\frac{4}{3}\pi\text{r}^3=38808$
$\Rightarrow\text{r}^3=38808\times\frac{21}{88}=9261$
$\Rightarrow\text{r}=21\text{cm}$
Surface area of a sphere $=4\pi\text{r}^3$
Surface area $=4\times\frac{22}{7}(21)^2=5544\text{cm}^2$
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