Answer:
Explanation:
To find the height of the cylinder, we can use the formula for the curved surface area of a cylinder:
Curved Surface Area = 2πrh
Given that the diameter of the cylinder is 22 cm, the radius (r) would be half of that, which is 11 cm.
Substituting the given values into the formula, we have:
10,400 cm² = 2π * 11 cm * h
Simplifying the equation, we have:
10,400 cm² = 22π cm * h
To isolate the height (h), we divide both sides of the equation by 22π:
h = 10,400 cm² / (22π cm)
Now, we can calculate the approximate value for the height:
h ≈ 150 cm
Therefore, the height of the cylinder is approximately 150 cm.