A solid has cross sections perpendicular to the -axis that are semicircles

MATHEMATICS · Subjective · CBSE · Mathematics · Area · Area

Problem

A solid has cross sections perpendicular to the

x

-axis that are semicircles. At each

x

in the domain

0\le x\le 3

, the diameter of the semicircle is

d(x)=4-2x

. Determine an explicit formula for the area

A(x)

of a cross section in terms of

x