# Two hemispheres

In a wooden hemisphere with a radius r = 1, a hemispherical depression with a radius r/2 was created so that the bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)?

### Correct answer:

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

**algebra**- expression of a variable from the formula
**solid geometry**- sphere
- surface area
- spherical cap
- hemisphere
**planimetrics**- area of a shape

#### Units of physical quantities:

#### Grade of the word problem:

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