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Which equation and solution give the radius of the smaller cylinder if the volume inside the larger cylinder but out side the smaller cylinder is 768 centimeter

1 Answer

3 votes

Answer:


768\pi = 1024\pi - 16\pi r^2


r = 4

Explanation:

See attachment for complete question

Given


v = 1.024\pi - 16\pi r^2

Required

Determine the equation and solution when v = 768


v = 1024\pi - 16\pi r^2

Substitute
768\pi for v


768\pi = 1024\pi - 16\pi r^2

The above expression represents the equation

Solving further:


768\pi = 1024\pi - 16\pi r^2

Collect like terms


16\pi r^2 = 1024\pi - 768\pi


16\pi r^2 = 256\pi

Divide both sides by
16\pi


r^2 = (256\pi)/(16\pi)


r^2 = (256)/(16)


r^2 = 16

Take square roots of both sides


r = \sqrt{16


r = 4

Which equation and solution give the radius of the smaller cylinder if the volume-example-1
User Darryn
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