AP Calculus ABhardmcq1 pt
The volume of the solid obtained by rotating the region bounded by y = sqrt(x), x = 4, and y = 0 about the y-axis using the shell method is:
A.128pi/5
B.32pi/5
C.8pi
D.16pi
Explanation
Core Concept
Using the shell method: V = 2pi times integral from 0 to 4 of x*sqrt(x) dx = 2pi times integral from 0 to 4 of x^(3/2) dx = 2pi * [2x^(5/2)/5] from 0 to 4 = 2pi * (64/5) = 128pi/5.
Correct Answer
A128pi/5
Practice more AP Calculus AB questions with AI-powered explanations
Practice Unit 8: Applications of Integration Questions →