Cone A is a solid cone of uniform material with height and base radius
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
Cone A is a solid cone of uniform material with height h and base radius r. Cone B is made of the same material and has the same base radius r but a height 2h. The mass of Cone A is measured to be 0.80kg.
(a) Derive the ratio VAVB of the volumes of Cone B to Cone A in terms of their given dimensions.
(b) Using your result from part (a), determine the mass of Cone B.
(c) Suppose instead that a third cone, Cone C, were constructed so that both its height and its base radius are doubled relative to Cone A. Without performing a full calculation, qualitatively compare the mass of Cone C to the masses of Cones A and B, and justify your comparison.