A right circular cone and a right circular cylinder have the same base circumference of

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A right circular cone and a right circular cylinder have the same base circumference of 132 cm132\,\text{cm}. The height of the cone is 15 cm15\,\text{cm} and that of the cylinder is 20 cm20\,\text{cm}. (i) Find the radius of their common base. (ii) Calculate the volume of the cone and the volume of the cylinder. (iii) Determine the simplified ratio of the volume of the cone to that of the cylinder.

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