Consider the practice of obtaining the volume of solids that are built by combining…
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
Consider the practice of obtaining the volume of solids that are built by combining simpler solids.
(i) State what is meant by the additive property of volumes of solids.
(ii) A toy is formed by fixing a hemisphere of radius r on the top of a right circular cylinder of the same radius. Explain, without performing any numerical calculation, how the volume of this toy can be found by using the additive property mentioned in part (i).
(iii) Give one real-life example in which the subtractive idea (rather than the additive idea) must be used to calculate the volume of a composite solid, and briefly describe the steps involved in such a calculation.