For a particular design

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For a particular design, the volume in cubic centimeters of a solid with rectangular cross sections is modeled by

V(t)=t^{2}(10-t), \qquad 0<t<10,

where

t

is an adjustable length in centimeters. Determine the value of

t

that produces the maximum volume and state that maximum volume.