An unopened can of Coke contains 226.08 cubic centimeters of liquid. What is the diameter of the can if the height is 8 cm?

Answer 1

Jayden Jackson

The diameter is #6cm#. See explanation.

The coke can is a cylinder. In the question the volume and the height is given, and we have to calculate the diameter.

If we look at the volume formula we see:

If we transform it, we can calculate the radoius as:

So the diameter is:

If we substitute the given data we get:

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Answer 2

Parker Allen

The diameter of the can can be calculated using the formula for the volume of a cylinder, which is ( V = \pi r^2 h ), where ( V ) is the volume, ( r ) is the radius, and ( h ) is the height. Given that the volume ( V ) is 226.08 cubic centimeters and the height ( h ) is 8 cm, we can rearrange the formula to solve for the radius ( r ) and then calculate the diameter by multiplying the radius by 2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.