Question

A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m² canvas is Rs 70, find the cost of the canvas required to make the tent.

Answer 1

It is given that the vertical height ‘h’ = 10 m and base radius ‘r’ = 24 m.

To find the slant height ‘l’ we use the following relation

Slant height,

l =

=

=

=

l = 26 m

Hence the slant height of the given cone is

The amount of canvas required to make a cone would be equal to the curved surface area of the cone.

The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as

Curved Surface Area =

Now, substituting the values of r = 24 m and slant height l = 26 m and using in the formula of C.S.A,

We get Curved Surface Area =

=

Therefore the Curved Surface Area of the cone is m²

The cost of the canvas is given as Rs. 70 per m²

The total cost of canvas= (Total curved surface area) (Cost per m²)

= (70)

= 137280

Hence the total amount required to construct the tent is