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)?

Correct answer:

S =  10.2102 cm2

Step-by-step explanation:

r=1 r2=r/2=1/2=21=0.5  S1=π r2=3.1416 123.1416 S2=π r22=3.1416 0.520.7854  S11=4π r2/2=4 3.1416 12/26.2832 S22=4π r22/2=4 3.1416 0.52/21.5708  S=S11+S22+S1S2=6.2832+1.5708+3.14160.785410.2102 cm2   Verifying Solution:  q=S/π/r2=10.2102/3.1416/12=413=3.25  S = 413 π r2

Did you find an error or inaccuracy? Feel free to write us. Thank you!

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

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: