Question

How many square meters of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 cm?

Answer 1

Hey there!

Question : How many square meters of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?


We need to find the surface area of canvas required to make a conical tent of height 3.5m and radius 12m .

Here, We need to find Lateral surface Area of the cone with given measures.

Before going to find that out, We need to find slant height of the cone ( l) because L. S. A = πrl

We know that,
l² = r² + h²

l² = 12² + 3.5²

l² = 156.25

l = √156.25 = 12.5m .

Now,
Lateral surface Area = π rl = 3.14 ( 12.5)( 12 ) = 471 m²

Therefore, Required length of canvas = 471m²

Hope helped!

Answer 2

Answer:

LSA of cone : πrl

l= r^2+h^2

l=3.5^2+12^2

l= 12.25 + 144

l=  root 156.25

l = 1.25

πrl

3.14 x 12 x 1.25

47.1