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Find the mass of the solid bounded below by the circular cone z=√x^2+y^2 and above by the hemisphere z=√2.52−x^2−y^2 if the density ρ(x,y,z)=√x^2+y^2+z^2. Write your answer in terms of π. Notice a factor π is already included in the answer.

Find the mass of the solid bounded below by the circular cone z=√x^2+y^2 and above by the hemisphere z=√2.52−x^2−y^2 if the density ρ(x,y,z)=√x^2+y^2+z^2. Write your answer in terms of π. Notice a factor π is already included in the answer.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Find the mass of the solid bounded below by the circular cone z=√x^2+y^2 and above by the hemisphere z=√2.52−x^2−y^2 if the density ρ(x,y,z)=√x^2+y^2+z^2.
Write your answer in terms of π. Notice a factor π is already included in the answer.

Mass = π

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