Question

Question 6
Write ‘True’ or ‘False’ and justify your answer in the following
The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is $\frac{\pi r^2}{3}[3h-2r]$

Answer 1

The statement is true
We know that, capacity of cylindrical vessel $=\pi r^{2}hc{m}^3$ and capacity of hemisphere $=\frac{2}{3}\pi r^{3}cm$.
From the figure, capacity of the cylindrical vessel $=\pi r^{2}h-\frac{2}{3}\pi r^3=\frac{1}{3}\pi r^2[3h-2r]$