A regular quadrangular prism with a base side of 4 and a height of 6 / p
| September 20, 2021 | education
A regular quadrangular prism with a base side of 4 and a height of 6 / p is described near the cylinder. Find the area of the lateral surface of the cylinder.
Since the prism is correct, there is a square at its base.
The radius of the circle at the base of the inscribed cylinder is equal to half the length of the side of the square ABCD.
R = AB / 2 = 4/2 = 2 cm.
Determine the length of the circle.
L = 2 * π * R = 2 * π * 2 = 4 * π see.
Let us determine the area of the lateral surface of the cylinder.
Sside = L * AA1 = 4 * π * 6 / π = 24 cm2.
Answer: The area of the lateral surface of the cylinder is 24 cm2.
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