# Sphere in cone

A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle. Find the size of the angle for the base of this triangle.

### Correct answer:

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Calculation of an isosceles triangle.

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Do you want to convert area units?

Calculation of an isosceles triangle.

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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

**algebra**- expression of a variable from the formula
- intersection of sets
**solid geometry**- cone
- sphere
- surface area
**planimetrics**- circle
- area of a shape
- triangle
**basic functions**- ratio
**goniometry and trigonometry**- tangent
- arctangent

#### Units of physical quantities:

#### Grade of the word problem:

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