Two hemispheres

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

Your answer:

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

algebra

rearrange variables

solid geometry

sphere
surface area
spherical cap
hemisphere

planimetry

area of a shape

Units of physical quantities

area

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

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