Question
Write the correct answer in the following:
The total surface area of a cone whose radius is $\frac{\text{r}}{2}$ and slant height 2l is:
The total surface area of a cone whose radius is $\frac{\text{r}}{2}$ and slant height 2l is:
✓
Answer
- $\pi\text{r}\Big(\text{l+}\frac{\text{r}}{4}\Big)$
Total surface area of cone = Area of the base + Curved Surface area of cone
$=\pi\Big(\frac{\text{r}}{2}\Big)^2+\pi\Big(\frac{\text{r}}{2}\Big)\times2\text{l}=\frac{\pi\text{r}}{2}\Big(\frac{\text{r}}{2}+2\text{l}\Big)$
$=\frac{\pi\text{r}}{4}(\text{r}+4\text{l})=\pi\text{r}\Big(\text{l}+\frac{\text{r}}{4}\Big)$
Hence, (b) is the correct answer.
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