Question

The radius of the base of a conical tent is $7m$ . The tent is $24m$ high. Find the cost of the canvas required to make the tent, if one square meter of canvas costs $Rs.180$

• A. $Rs.99000$
• B. $Rs.98000$
• C. $Rs.95000$
• D. $Rs.97000$

Answer 1

The correct option is A $Rs.99000$

Given, Radius $\left(r\right)$ $=7m$ and height of the conical tent $\left(h\right)$ $=24m$.

Curved surface area of the conical tent = $\pi rl$.

Now, the slant height : $l=\sqrt{r^2+h^2}$

$=\sqrt{7^2+{24}^2}=\sqrt{49+576}=\sqrt{625}=25m$.

Therefore, the curved surface area of tent = $\frac{22}{7}\times 7\times 25=550m^2$.

Then, the cost of the canvas = $550$$\times$$180=$ Rs. $99000$.

Hence, option $A$ is correct.