# Intersection 40981

The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere.

## Correct answer:

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

**algebra**- expression of a variable from the formula
**arithmetic**- square root
**solid geometry**- sphere
- surface area
- spherical cap
**planimetrics**- Pythagorean theorem
- right triangle

### Units of physical quantities:

### Grade of the word problem:

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