NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.8 – Part 2

Volume formula,sphere volume=4/3 πr^3, hemisphere=2/3 πr^3

Volume Formula

Volume formula,sphere volume=4/3 πr^3, hemisphere=2/3 πr^3

Q-4 The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Solution:

If the diameter is one-forth then radius of moon would also be one-fourth of the radius of the earth.

Let radius of the moon be Equation , then radius of the earth Equation

Volume of the moon Equation

Volume of the earth Equation

Or Equation that is, the volume of the moon is Equation of the volume of the earth.

Q-5 How many liters of milk can a hemispherical bowl of diameter Equation hold?

Solution:

Given,

  • Diameter of a hemispherical bowl Equation

  • Radius(r) Equation

Volume of the hemispherical bowl is Equation

  • Equation

  • Equation

  • Equation (Since 1 liter = 1000 cubic centimeters)

  • Equation

Q-6 A hemispherical tank is made up of an iron sheet Equation thick. If the inner radius is Equation , then find the volume of the iron used to make the tank.

Solution:

Given a hemispherical tank with some thinkness,

  • Internal radius Equation

  • External radius Equation

Volume of iron used = External volume – Internal volume

  • Equation

  • Equation

  • Equation

  • Equation

  • Equation

  • Equation

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