NCERT Solutions Class 10 Mathematics Solutions for Surface Areas and Volumes - Exercise 13.4 in Chapter 13 - Surface Areas and Volumes

Question 3 Surface Areas and Volumes - Exercise 13.4

A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig.). 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, find the area of material used for making it.

Answer:

Given,

For the lower circular end, radius (r₁) = 10 cm

For the upper circular end, radius (r₂) = 4 cm

Slant height (l) of frustum = 15 cm

Now,

The area of material to be used for making the fez = CSA of frustum + Area of upper circular end

CSA of frustum = π(r₁+r₂)×l

= 210π

And, Area of upper circular end = πr₂²

= 16π

∴ The area of material used = 226π cm²

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Exercises

Surface Areas and Volumes - Exercise 13.1

Surface Areas and Volumes - Exercise 13.2

Surface Areas and Volumes - Exercise 13.3

Surface Areas and Volumes - Exercise 13.4

Surface Areas and Volumes - Exercise 13.5

Chapters

Real Numbers

Polynomials

Pair of Linear Equations in Two Variables

Quadratic Equations

Arithmetic Progressions

Triangles

Coordinate Geometry

Introduction to Trigonometry

Some Applications of Trigonometry

Circles

Areas Related to Circles

Surface Areas and Volumes

Statistics

Probability