The lateral surface of the cylinder unfolds into a square with side a. Find the volume of the cylinder.
| May 8, 2021 | education
Since the unfolded side surface is a square with side a, its area will be equal to:
Sside = a ^ 2 cm2.
Then the circumference at the base of the cylinder will be a cm.
L = 2 * n * R = a.
R = a / 2 * n cm.
Determine the area of the base of the cylinder.
Sop = n * R ^ 2 = n * a ^ 2/4 * n ^ 2 = a ^ 2/4 * n cm2.
Determine the volume of the cylinder:
V = Sosn * a = (a ^ 2/4 * n) * a = a ^ 3/4 * n cm3.
Answer: The volume of the cylinder is a ^ 3/4 * n cm3.
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