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A clown’s cap is in the form of a right circular cone of radius 7cm and height 24cm. Find the area of the sheet required to make 10 such caps.

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answer is A.

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Detailed Solution

It is given that the height of the conical cap is h=24 cm and the radius is r=7 cm, therefore, the slant height of the conical cap is:
seo

Thus, slant height of the cone is 25 cm.
We also know that the curved surface area of a cone with radius r and slant height l is

Here, the slant height of the cone is l=25 cm and radius is 7 cm, therefore,

Now, for 1 cap, the sheet required is 550 cm2 and the area of sheet required for 10 caps is:

We have the area of sheet required to make 10 caps

.
So, option 1 is correct.

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