The marketing manager of a soda drink company wants to design a can woth a height that is four times the radius of the can.

A. Express the volume of tge can as a function of the radius r, f (r)

B. Express the volume of the can as a function of the heighy h, f (h)

Question

Pansy

Mathematics

31 July, 18:18

The marketing manager of a soda drink company wants to design a can woth a height that is four times the radius of the can.

A. Express the volume of tge can as a function of the radius r, f (r)

B. Express the volume of the can as a function of the heighy h, f (h)

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Answers (1)

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Lindsey Wiggins · Answer 1

Volume of a cylinder:

V = area of the base * height

Area of the base = π (r^2)

A) h = 4r

f (r) = V (r) = [π (r^2) ] h = π (r^2) (4r) = 4π (r^3)

B) h = 4r = > r = h/4

f (h) = V (h) = [π (r^2) ] h = [ π (h/4) ^2 ]h = [π (h^2) / (16) ]h = π (h^3) / 16

The marketing manager of a soda drink company wants to design a can woth a height that is four times the radius of the can.A. Express the volume of tge can as a function of the radius r, f (r)B. Express the volume of the can as a function of the heighy h, f (h)

The marketing manager of a soda drink company wants to design a can woth a height that is four times the radius of the can.

A. Express the volume of tge can as a function of the radius r, f (r)

B. Express the volume of the can as a function of the heighy h, f (h)