Question

The volume of a cylinder is given by the formula v = r2h, where r is the radius and h is the height. find the height in m if the volume is 9,550 m3 and the radius is 12.0 m. (use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.)

Answer 1

To find the height of the cylinder, use the rearranged formula h = V / (πr²). The given radius is 12.0 m and the volume is 9550 m³. The calculated height of the cylinder is approximately 66.8 m.

Step-by-step explanation:

To find the height of the cylinder, we have to rearrange the formula, V = πr²h. That becomes h = V / (πr²). Substituting the given values: The volume V is 9550 m³, the radius r is 12.0 m, and π is a constant approximately equal to 3.14159. Hence, h = 9550 / (3.14159 * (12)²).

Performing this calculation, we get h ≈ 66.8 m. So, the height of the cylinder, rounded to the nearest tenth, is approximately 66.8 meters.

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