AP Calculus ABhardmcq1 pt
The volume of the solid formed by revolving the region bounded by y = x², y = 0, x = 0, and x = 2 about the y-axis is:
A.2π
B.8π
C.16π
D.4π
Explanation
Core Concept
Using the shell method: V = 2π∫₀² x·x² dx = 2π∫₀² x³ dx = 2π[x⁴/4]₀² = 2π(16/4) = 2π(4) = 8π.
Correct Answer
B8π
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