http://techgnosticinstitute.com/round-solid/
Round Solid
A ball of radius 11 has a round hole radius of 7 drilled through its center. Find the resulting solid volume?
Not sure how to this problem, the calculation of his chapter on the axis of revolution and the areas between the curves to find. Anyone know how?
I copied this response from another user, but only applies ur numbers and you be able to get the right answer "To be more precise, the hole is a cylinder of radius 7 with rounded ends. These are the rounded ends is more difficult to find the volume, so let's do those first. Imagine a sphere with center the source with the z axis as the center of the cylinder (the hole). The equation of the sphere is x ² + y ² + z ² = 100. The equation of the hole is x ² + y ² = 49. Find the z coordinate of the intersection: 49 + z ² = 100 z = ± √ 51 now integrate to find the volume of a round end: π ∫ (z = √ 51-10) 100 – z dz ² π (2000 / 3-249 √ 51 / 3) ≈ 464.504 <<<<( this is a mistake for others the user forgot to multiply that by two, since there are two extremes) The volume of the cylinder, without the rounded ends is πr ² h = π (7) ² (2 √ 51) ≈ The volume of the sphere 2198.675 without the hole is (4.3) π (10) = ³ 4000π / 3 ≈ 4188.79. The volume we want is therefore 4188.79 – 2198.675 to 464,504 = 1525.611 (the answer is wrong because, as I said before it really 4188.79-2198.675-2 (464 504) = 1061.107: P)
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Round cribs are the infant's nothing better than a standard crib
If, like me, you are looking for something a little unusual in the care of your new babys 'Round baby cribs may be just what you want. These relatively new style cribs are made to be rugged and somewhat charming.
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Make sure the timber has a nontoxic finish, as some paints, plastics and wood finishes, use a chemical called formaldehyde, in the manufacturing process, which some considered to be toxic, especially for a newborn baby. For the same reason is also a good idea to make the same controls for the crib mattress.
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About the Author
Bio
For me, round baby cribs offer a charming and appealing look to any nursery, whether it be in a traditional or more modern design.
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