# 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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