SOLUTION: This question has defeated me for 3 days, hope someone can help. Find the cost of painting a sphere of diameter 2 meters which is to be used as a playground decoration. The pain

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Question 316142: This question has defeated me for 3 days, hope someone can help.
Find the cost of painting a sphere of diameter 2 meters which is to be used as a playground decoration. The paint comes in 5 liter tins and costs 38.50 per tin. Coverage is 9 meters squared per liter.
The council is also considering painting a cube of side 2 meters, would this option be cheaper?
Any help would make my day. Hell, it would make my week!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the surface area for both objects.
Then, using the surface area and cost per area of painting both objects, calculate the total cost to paint each.
For a sphere,
SA=4%2Api%2Ar%5E2
SA=4%2Api%2A%282%2F2%29%5E2
SA=4%2Api pr approximately
SA(sphere)=12.6 m^2
.
.
.
For a cube, each face is a square and there are 6 faces.
SA=6s%5E2=6%284%29
SA=24
SA(cube)=24 m^2
.
.
.
You don't even have to calculate the total cost.
The cost of the paint is the same so the cost of painting the cube is almost double the cost of painting the sphere becasue the cube has almost double the area of the sphere.