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1/3rd of a large can X in the shape of a right circular cylinder is filled with cola. If the volume of cola in the can is 12 cubic inches and the radius of the can is 6 inches, then what is the height of the can X?
  • a)
    1/π
  • b)
    2/π
  • c)
    3/π
  • d)
    4/π
  • e)
    5/π
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
1/3rd of a large can X in the shape of a right circular cylinder is fi...
To solve this problem, we need to use the formula for the volume of a right circular cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Given that one-third of the can is filled with cola and the volume of the cola is 12 cubic inches, we can set up the following equation:

(1/3)πr^2h = 12

We are also given that the radius of the can is 6 inches. Substituting this value into the equation, we get:

(1/3)π(6^2)h = 12

Simplifying further:

(1/3)π(36)h = 12

12πh = 12

Dividing both sides by 12π:

h = 1

Therefore, the height of the can X is 1 inch.

Hence, the correct answer is option A.
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1/3rd of a large can X in the shape of a right circular cylinder is fi...
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