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Answer to Q77

In sharing a bottle of coke with my two sons, Tom and Harry. Tom brought a 3cm diameter, 6cm tall cup which I filled to the brim. Harry brought a 6cm diameter, 3cm tall cup which I also filled to the brim.

Who had the most coke?

Volume of Tom's cup:
Height of cup = 6cm
Diameter of cup = 3cm
Radius (r) = 1.5cm
Volume = πr²h
= π x 1.5² x 6
= 42.41cm³

Volume of Harry's cup:
Height of cup = 3cm
Diameter of cup = 6cm
Radius (r) = 3cm
Volume = πr²h
= π x 3² x 3
= 84.82cm³

Not only did Harry had more coke, he had exactly twice of Tom's coke.

Answer: Harry

Moral: This question is very similar to Q55, diameter matters alot.



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Answer to Q77

In sharing a bottle of coke with my two sons, Tom and Harry. Tom brought a 3cm diameter, 6cm tall cup which I filled to the brim. Harry brought a 6cm diameter, 3cm tall cup which I also filled to the brim.

Who had the most coke?

Volume of Tom's cup:
Height of cup = 6cm
Diameter of cup = 3cm
Radius (r) = 1.5cm
Volume = πr²h
= π x 1.5² x 6
= 42.41cm³

Volume of Harry's cup:
Height of cup = 3cm
Diameter of cup = 6cm
Radius (r) = 3cm
Volume = πr²h
= π x 3² x 3
= 84.82cm³

Not only did Harry had more coke, he had exactly twice of Tom's coke.

Answer: Harry

Moral: This question is very similar to Q55, diameter matters alot.

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