A certain right circular cylinder is filled halfway with g gallons of water. When placed on its side, the maximum depth of the water is c centimeters. In terms of c and g , what is the height of the cylinder?a)b)c)d)e)Correct answer is option 'B'. Can you explain this answer?

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A certain right circular cylinder is filled halfway with g gallons of water. When placed on its side, the maximum depth of the water is c centimeters. In terms of c and g , what is the height of the cylinder?

Correct answer is option 'B'. Can you explain this answer?

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Test: Rectangular Solids- 1

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A certain right circular cylinder is filled halfway with g gallons of ...

Step 1: Question statement and Inferences

A certain right circular cylinder is filled halfway with g gallons of water, so its volume is 2g. When placed on its side, the maximum depth of the water is c centimeters, so its radius is c.

Step 2: Finding required values

Set up the equation to solve for h. The volume of any right circular cylinder is V = πr²h. Knowing that V = 2g and that c = r, set up the equation.

Step 3: Calculating the final answer

Set up the equation like this:

2g = πc²h

To isolate h, divide both sides by πc²

h=2g/πc2

Answer: Option (B)

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