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Spring 2017, Math 126
Quiz 3
Name:
Problem 1.
(3 points) Find the volume of a cap of a sphere with radius
r
and height
h.
Only set up the
integral.
Problem 2.
S if its base is an elliptical region with boundary curve 9x2 +4y 2 = 36
the x-axis are isosceles right triangles with hypotenuse in the base.
Find the volume of the solid
and the cross-sections perpendicular to
Only set up the integral.
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Problem 3.
Set up, do not solve, integrals to compute volumes of the following solids:
a) The solid resulting from rotating
A
about
c) The solid resulting from rotating
A
about
x = −1.
x = 5.
b) The solid resulting from rotating
A about y -axis.
d) The solid resulting from rotating
A
about
y = 6.