Question
The TSA of a solid cylinder whose radius is half of its height h is equal to:
✓
Answer
- $\frac{3}{2}\pi\text{h}^2\text{ sq.units}$
Here $\text{r}=\frac{\text{h}}{2}$
$\therefore$ TSA of a soild cylinder $=2\pi\text{r}(\text{r}+\text{h})$
$=2\pi\times\frac{\text{h}}{2}\Big(\frac{\text{h}}{2}+\text{h}\Big)$
$=\pi\text{h}\Big(\frac{\text{3h}}{2}\Big)$
$=\frac{3}{2}\pi\text{h}^2\text{ sq.units}$
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