Calculus NEed help please!

Question

 

Use your calculator to find the approximate volume in cubic units of the solid created when the region under the curve y = sin(x) on the interval [0, π] is rotated around the x-axis. (4 points)

Answer Choices:

	4.93
	1.57
	6.28
	2.00

Answer 1

This volume V = π∫₀^πsin²xdx = π∫₀^π(1 - cos2x)/2dx = π/2(x - 1/2sin2x)₀^π = π²/2 = 4.93