RD Sharma Class 10 Chapter 16 (Surface Areas and Volumes) Solutions


In the previous class, you have already studied the TSA, CSA, and volume of solid figures like cuboid, cone, cylinder, and sphere. In Chapter-16 of RD Sharma Class 10, you will deal with surface areas and volumes of objects that are made up of combined figures. 

This chapter consists of questions in which you are required to obtain either the surface area or volume of an object made from two or more basic solids. These include cuboid, cone, cylinder, sphere, and hemisphere. 

RD Sharma Class 10 Chapter 16 (Surface Areas and Volumes) Solutions

Exercise 16.1
  • Exercise 16.1
  • Exercise 16.2
  • Exercise 16.3
Class 10th|RD Sharma - MathematicsChapter 16 - Surface Areas and Volumes
RD Sharma - MathematicsClass 10th , RD Sharma
Chapter 1 - Real Numbers
Chapter 2 - Polynomials
Chapter 3 - Pair of Linear Equations in Two Variables
Chapter 4 - Triangles
Chapter 5 - Trigonometric Ratios
Chapter 6 - Trigonometric Identities
Chapter 7 - Statistics
Chapter 8 - Quadratic Equations
Chapter 9 - Arithmetic Progressions
Chapter 10 - Circles
Chapter 11 - Constructions
Chapter 12 - Some Application of Trigonometry
Chapter 13 - Probability
Chapter 14 - Co-ordinate Geometry
Chapter 15 - Areas Related to Circles
Chapter 16 - Surface Areas and Volumes
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Class 10th RD Sharma

Formulas of Areas Related to Circles Class 10 | RD Sharma

1. Volume of a frustum of a Cone = ⅓ πh (r12 + r22 + r1r2)

2. Curved Surface Area of a Frustum of a Cone = πl (r1 + r2), where l= √h2 + (r1 - r2)2

3. Total Surface Area of Frustum of a Cone = πl (r1 + r2) + π(r12 + r22)

Where, h = vertical height of the frustum, l = slant height of the frustum

Concepts in RD Sharma Class 10 Chapter-16

Before you attempt a question, you should observe the object carefully and find out about every individual figure used in its formation. By adding the area or volume of all the figures, you will obtain the overall area or volume of the object. Consider taking assistance from RD Sharma Class 10 Chapter-16 Solutions as there may occur chances of inaccuracy. 

You will study the following topics in this chapter. 

  1. Surface Area of a Combination of Solids 
  2. Volume of a Combination of Solids
  3. Conversion of Solid from One Shape to Another
  4. Frustum of a Cone