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1)Find the volume of the solid whose base is a circle with equation x^2+y^2=36 and cross-sections...

1)Find the volume of the solid whose base is a circle with equation x^2+y^2=36 and cross-sections are squares perpendicular to the x-axis.
(a) Create the graph for this problem
(b) What is the volume of one 'slice'?
(c) What is the integral for the volume?
(d) What is the volume in exact form?

2) Find the volume of the region bounded by y=-x^2+4 and y=x+2 rotated about the line y=5
(a) Create the graph for this problem
(b) What is the volume of one 'slice'?
(c) What is the integral for the volume?
(d) What is the volume in exact form?

Math   Calculus   
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