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

ShareIn 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

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 |

**Formulas of Areas Related to Circles Class 10 | RD Sharma**

1. Volume of a frustum of a Cone = ⅓ πh (r_{1}^{2} + r_{2}^{2} + r_{1}r_{2})

2. Curved Surface Area of a Frustum of a Cone = πl (r_{1} + r_{2}), where l= √h^{2} + (r_{1} - r_{2})^{2}

3. Total Surface Area of Frustum of a Cone = πl (r_{1} + r_{2}) + π(r_{12} + r_{22})

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.

- Surface Area of a Combination of Solids
- Volume of a Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone