Q.52 - Calculus

Question

The region bounded above by the unit sphere centered at the origin and bounded below by the plane $z=h$ where $0\le h\le 1$.

Step-by-Step Solution

Answer

The solid's volume is bound.$V=\frac{\pi h^3}{3}$

Given information

The area is circumscribed on the top by the unit sphere centered at the origin, and on the bottom by the plane. $z=h$

Step 1 simplification

The goal of this issue is to create an iterated integral that depicts the volume of the region confined below the cone and above the plane $z=h$ using polar coordinates.