Question 746495: I have a submarine that consists of a hemisphere, a cylinder, and a cone. The length of the submarine is 17, the radius of the cone, cylinder, and hemisphere is 3, and the slant height of the cone is 5. How do I find the volume of the submarine?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The cone has a radius of 3 and a slant height of 5, so knowing that 3-4-5 is a Pythagorean triple, we can see that the height of the cone is 4. Since the radius of the hemisphere is 3, the depth of the hemisphere must also be 3. 17 minus 4 minus 3 leaves 10 which must then be the height of the cylinder. Calculate the volume of each part of the whole using the formulas for the volume of a cone, cylinder, and hemisphere (1/2 times the volume of a sphere of the same radius). Add the three volumes together.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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