Question
Asked Oct 27, 2019

I need to find the answer using integration with polar coordinates.

A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6. Find the volume of the ring shaped
solid that remains.
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A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6. Find the volume of the ring shaped solid that remains.

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Step 1

Given:

A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6. Find the volume of the ring shaped
solid that remains.
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A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6. Find the volume of the ring shaped solid that remains.

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Step 2

Formula used:

Volume of cylinder nr h
Wherer is radius of cylinder
4
Volume of sphere =-7R
3
Where R is radius of sphere
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Volume of cylinder nr h Wherer is radius of cylinder 4 Volume of sphere =-7R 3 Where R is radius of sphere

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Step 3

Now according to th...

Radius of Cylinder (r) = 2
Height of Cylinder (h) = Diameter of sphere 12
Radius of Sphere(R)= 6
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Radius of Cylinder (r) = 2 Height of Cylinder (h) = Diameter of sphere 12 Radius of Sphere(R)= 6

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Math

Calculus