NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.8 – Part 1

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Volume of sphere=4/3 πr^3

Volume of Sphere

Volume of sphere=4/3 πr^3

Q-1 Find the volume of a sphere whose radius is

  1. Equation

  2. Equation

Solution:

  1. Radius of the sphere Equation

    So, Volume of the sphere

    • = Equation

    • = Equation

    • = Equation

    • = Equation

  2. Radius of the sphere Equation

    Volume of the sphere

  • = Equation

  • = Equation

  • = Equation

Q-2 Find the amount of water displaced by a solid spherical ball of diameter.

  1. Equation

  2. Equation

Solution:

  1. Spherical ball’s diameter is Equation

    Radius Equation

    Amount of water displaced by the spherical ball = Volume of the ball

    • = Equation

    • = Equation

    • = Equation

    • = Equation

  2. The spherical ball’s diameter Equation

    Radius Equation

    Amount of water displaced by the spherical ball = Volume of the ball

  • = Equation

  • = Equation

  • = Equation

Q-3 The diameter of a metallic ball is Equation . What is the mass of the ball, if the density of the metal is Equation ?

Solution:

  • Diameter of the ball Equation

  • Radius Equation Equation

Volume of the ball

  • = Equation

  • = Equation

  • = Equation

Density of the metal is Equation

Therefore, mass of the ball Equation

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