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| Math Central | Quandaries & Queries |
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Question from Mandy, a parent: How can I show that the total surface are of any solid hemisphere is 75% of the area of the full sphere? |
Hi Mandy,
The surface area of a sphere of radius $r$ units is $4 \pi \; r^2$ square units.
A hemisphere is half a sphere and its surface area is composed of two parts, the curved part which has half the surface area of the sphere and the circular flat base which is a disk of radius $r$ units. What is the area of the disk. What is the total surface area of the hemisphere?
Penny
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