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A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cyl…

A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cyl…
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A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?

A. 16 mm
B. 8 mm
C. 18 mm
D. 14 mm

User Vedang Mehta
by
7.7k points

1 Answer

5 votes
The answer is 8mm and here's how:

4πsquare= 2πrsquare+2πrh
2πsquare=2πrah
R=h
So h=16/2=8mm
User Nico Shultz
by
8.6k points
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