# Rotary cone

The volume of the rotation of the cone is 472 cm

^{3}. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**arithmetic**- cube root
**solid geometry**- cone
- surface area
**planimetrics**- right triangle
- triangle
**goniometry and trigonometry**- cosine
- tangent

#### Units of physical quantities:

#### Grade of the word problem:

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