Surface Areas and Volumes · Class 10 · CBSE Mathematics

A cone and a cylinder have the same base radius and the same height. If the volume of the cylinder is 300 text{ cm}^3, then find the volume of the co…

Practice question from Surface Areas and Volumes (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-B2C74A

A cone and a cylinder have the same base radius and the same height. If the volume of the cylinder is 300 cm3300 \text{ cm}^3, then find the volume of the cone.

  1. A.100 cm³Correct answer
  2. B.150 cm³
  3. C.900 cm³
  4. D.600 cm³

Solution

The volume of a cone is one-third the volume of a cylinder having the same base radius and height. Therefore, Volume of cone = 13×Volume of cylinder=13×300=100 cm3\frac{1}{3} \times \text{Volume of cylinder} = \frac{1}{3} \times 300 = 100 \text{ cm}^3.

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