Let be the region in the first quadrant bounded by and between and

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Calculus · Calculus

Problem

Let

R

be the region in the first quadrant bounded by

y=\sin x

and

y=\cos x

between

x=0

and

x=\tfrac{\pi}{2}

. When

R

is revolved about the

x

-axis, a solid is produced. Calculate the exact volume of this solid.