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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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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