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Question

A conical tent is 10m high and the radius of its base is24m. Find slant height of the tent and cost of the canvas required to make the tent, if the cost of 1m2 canvas is Rs.70.


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Solution

Step 1 - Finding the slant height of the tent.

It is given that, radius of conical tent =24m and height of the conical tent =10m

Now, by the relation between the slant height, radius and height of the cone

l2=r2+h2l2=242+102l2=576+100l2=676l=676l=26m

Therefore the slant height of the cone is 26m.

Step 2 - Finding the cost of the canvas

To Find the cost of the canvas we need to find the curved surface area of the Cone.

Curved surface area of the cone =πrl

=227×24×26=137287m2

Cost of 1m2 canvas = 70

Therefore, the cost of 137287m2 canvas = 137287×70=137280

Hence, the cost of canvas of the conical tent 137280.


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