0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

The height of a conical tent at the center is $$5 m$$, the distance of any point on its circular base from the top of the tent is $$13 m$$. The area of the slant surface is

A
$$144 \pi sq. m$$
B
$$130 \pi sq. m$$
C
$$156 \pi sq. m$$
D
$$169 \pi sq. m$$
Solution
Verified by Toppr

Correct option is C. $$156 \pi sq. m$$
Given Height $$h=5$$ and Slant height $$l=13$$

$$\Rightarrow r^{2}=l^{2}-h^{2}=13^{2}-5^{2}$$

$$\Rightarrow r=12 $$

Area of slant surface $$=\pi rl$$

$$=\pi ×12×13$$

$$\Rightarrow $$area of slant surface $$=156\pi$$ sq.m

Was this answer helpful?
6
Similar Questions
Q1
The height of a conical tent at the center is 5m, the distance of any point on its circular base from the top of the tent is 13m. The area of the slant surface is
View Solution
Q2

There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m2 , then what is the base area of the tent? (Take π=227)


View Solution
Q3

There is a tent in conical shape. The slant height of the tent is 14m. If the curved surface area of cone is 308m2, then base area of tent is


View Solution
Q4

A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m; calculate: (i) total surface area of the tent, (ii) area of canvas, required to make this tent allowing 10% of the canvas used for folds and stitching.

View Solution
Q5

There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m2 , then what is the base area of the tent? (Take π=227)


View Solution