# Lateral surface area

The ratio of the area of the base of the rotary cone to its lateral surface area is 3: 5. Calculate the surface and volume of the cone if its height v = 4 cm.

### Correct answer:

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Tip: Our volume units converter will help you convert volume units.

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See also our trigonometric triangle calculator.

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

**algebra**- expression of a variable from the formula
**solid geometry**- cone
- surface area
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
**basic functions**- ratio

#### Units of physical quantities:

#### Grade of the word problem:

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