Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation.
Correct answer:

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You need to know the following knowledge to solve this word math problem:
- statistics
- geometric average
- solid geometry
- cone
- surface area
- planimetrics
- right triangle
- triangle
- The right triangle altitude theorem
Units of physical quantities:
Grade of the word problem:
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