A) a cap of a sphere with radius r and height h B) A tetrahedron with three mutu
ID: 2844855 • Letter: A
Question
A) a cap of a sphere with radius r and height h
B) A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths 3 cm, 4 cm, and 2 cm
C) The base of S is an elliptical region with boundary curve 82x^2 +4y^2 = 324. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
a cap of a sphere with radius r and height h A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths 3 cm, 4 cm, and 2 cm The base of S is an elliptical region with boundary curve 82x^2 +4y^2 = 324. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.Explanation / Answer
A)Break up the sphere into elementary cylinders of radius x and height dy, obtained by sectioning the sphrere by planes perpendicular to one of its diameter, each one at a distance y from the sphere 's center. Then, each elementary cylinder has volume
dV = ? x
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