The area bounded by the parabola y2 = x, the line y = 4 and... | MATH - AREA BOUNDED BY REGION, VOLUME AND SURFACE AREA OF SOLIDS OF REVOLUTION | SolveeIt | Solveeit

Today, August 24

Question

The area bounded by the parabola y² = x, the line y = 4 and y-axis -

A

$\frac { 16 } { 3 }$

B

$\frac { 32 } { 3 }$

C

$\frac { 64 } { 3 }$

D

$\frac { 128 } { 3 }$

Answer

$\frac { 64 } { 3 }$

Explanation

Solution

Area = = $\int _ { 0 } ^ { 4 } y ^ { 2 } d y$