# A Fez, the Cap Used by the Turks, is Shaped like the Frustum of a Cone. If Its Radius on the Open Side is 10 Cm, Radius at the Upper Base is - Mathematics

Sum

A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is
4 cm and its slant height is 15 cm, then find the area of material used for making it.

#### Solution

We have,

Radius of open side, R = 10 cm,

Radius of upper base, r = 4 cm and

slant height, l = 15 cm

Now,

The area of material used  =π (R + r)l +πr2

= 22/7xx(10+4)xx15+22/7xx4xx4

= 22/7xx14xx15+22/7xx4xx4

= 22/7xx(14xx15+4xx4)

= 22/77xx226

=4972/7  cm"

≈ 710.28 cm2

So, the area of material used for making the fez is 710.28 cm2.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise 19C | Q 20 | Page 912