SOLUTION: Hello, I need help with 2 questions I don't know how to do: 1. Fred Cooper has been asked to convene the toffee apple stall at the local school fair. To estimate the amount

Question 1081562: Hello,
I need help with 2 questions I don't know how to do:
1. Fred Cooper has been asked to convene the toffee apple stall at the local school fair. To estimate the amount of toffee required for 1500 apples, he assumes that each apple is a sphere of diameter 6 cm and will be entirely coated with toffee to a thickness of 2 mm. What is the total volume of toffee required?
2. Sand is deposited on a flat surface in a conical heap. How high is the heap if:
a. its diameter equals its height and its volume is 1 m3
b. its diameter is twice its height and its volume is 5 m3?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Fred Cooper has been asked to convene the toffee apple stall at the local school fair. To estimate the amount of toffee required for 1500 apples, he assumes that each apple is a sphere of diameter 6 cm and will be entirely coated with toffee to a thickness of 2 mm. What is the total volume of toffee required?
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It's the volume of the outside sphere, r = 3+2 = 5 cm, minus the volume of the apple, r = 3 cm
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2. Sand is deposited on a flat surface in a conical heap. How high is the heap if:
a. its diameter equals its height and its volume is 1 m3

h = 2r

r^3 = 3/(2pi)
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b. its diameter is twice its height and its volume is 5 m3?
Same as a, but h = r
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