%253Cp%253E%253Cimg%2520class%253D%2522user-upload%2522%2526nbsp%253Bsrc%253D%25
ID: 2844715 • Letter: #
Question
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/ Answer
I have solved this question earlier with different figures. Please workout using yours figures. If you need any further help just PM me. If I have helped you please rate me 5 stars first (before you rate anyone else).
Find the volume of the following solid using the method of your choice.
The solid whose base is the region bounded by y=3x2 and the line y=12 and whose cross sections perpendicular to the base and parallel to the x-axis are semicircles.
V=? (Simplify your answer.
A = 1/2*pi*r^2
integrate cross sectional area to get volume
y = 3x^2
y/3 = x^2
x = sqrt (y/3)
integral from 0 to 12 of 1/2*pi*(sqrt y/3)^2 = 12pi <ANSWER
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