Browse Questions

# The volume generated when the region bounded by $y=x,y=1,x=0$ is rotated about $y$-axis is

$\begin{array}{1 1}(1)\frac{\pi}{4}&(2)\frac{\pi}{2}\\(3)\frac{\pi}{3}&(4)\frac{2\pi}{3}\end{array}$

Volume of cylinder with base radius 1 ad the height 1- volume of the cone with base radius 1 and height 1
$\qquad= \pi \times 1^2 \times 1 - \large\frac{1}{3} \pi \times 1^2 \times 1$