Asked by Alice
The base of a solid is the circle x^2+y^2=9. Cross sections of the solid perpendicular to the x-axis are semi-circles. What is the volume, in cubics units, of the solid?
a) 9 π/4
b) 18π
c) 9π
d) 72π
a) 9 π/4
b) 18π
c) 9π
d) 72π
Answers
Answered by
Ms Pi_3.14159265358979
Steve posted this solution in 2016 : )
each square of thickness dx has side 2y, so its area is 4y^2.
Adding up all the thin squares, and using symmetry,
v = 2∫[0,3] 4(9-x^2) dx
So just check the search engine for your question : ) Often it has been asked before.
each square of thickness dx has side 2y, so its area is 4y^2.
Adding up all the thin squares, and using symmetry,
v = 2∫[0,3] 4(9-x^2) dx
So just check the search engine for your question : ) Often it has been asked before.