Answer for Day 7 Math Problem
6.75π square meters 🎯
21.21 meters² 🎯
Any of the two answers above shall be accepted.
Solution
The formula for the surface area of a sphere is 4πr². Since a hemisphere is just the half of a sphere, its (outer) surface area is 2πr². Since the hollow part of the hemisphere is covered, there is an additional πr² on the surface area of the hemisphere. Therefore, we just need to get the radius by halving the diameter, then substituting it to 3πr² to get the final answer.
- radius = (diameter) / 2 = 3 / 2 = 1.5
- surface area = 3 * π * 1.5² = 6.75π square meters or approximately 21.21 meters²
Winner:
🏅
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RE: Math mini-contest problem for Day 7 on D.Buzz for March 2021 😎