Q. 11 - Calculus

Question

The volume of solid obtained by revolving the region between the graph $f\left(x\right)=\sqrt{x}\text{ and }g\left(x\right)=x^3\text{ on }[0,1]$ around (a)the y axis (b)the line x=2

Step-by-Step Solution

Answer

Part (a) The solid of revolution has a volume of $\frac{2}{5}\pi$

Part (b) The solid of revolution has a volume of  $\frac{19}{15}\pi$

Part (a) Step 1. Given information

We have been given to find out the volume covered by the region between the given graphs .

$f\left(x\right)=\sqrt{x}\text{ and }g\left(x\right)=x^3\text{ on }[0,1]$

Part (a) Step 2.Showing problem through graph

a

Part (a) Step 3.

a