Question
A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?
- V = 4πr3
- V = π(2r)3
- V = πr2 + 4πr
- V = πr3 + 4πr2
The correct answer is: V = πr3 + 4πr2
HINT :- radius is given as r and using the condition that height is 4 inches greater than radius we get h .Now find the volume of right circular cylinder using formula .
given that height is 4 inches greater than radius we get h=r+4 inches and Radius is given as r inches.
Volume of right circular cylinder is (in cubic inches)
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