The circumference of the base of a right circular cylinder is 176cm.its height is 1m high.find the lateral surface area of the cylinder
Answers
176=2πr
176=2×22/7×r
176×7/2×22=r
8×7/2=r
r= 56/2
r= 28
L.S.A.of cylinder= 2πrh
= 2×22/7×28×1
=2×22×4
=176
The surface area of a three-dimensional object is the space taken up by its outer surface.
the lateral surface area of the cylinder is approximately 5,562.25 cm².
We need to know the radius and height of a right circular cylinder in order to calculate its lateral surface area.
The base's circumference, which is a circle's perimeter, is provided for us.
The formula for calculating a circle's circumference is :
C = 2πr
where C is the circumference and r is the radius of the circle.
Since we're given the circumference of the base as 176 cm, we can solve for the radius:
176 = 2πr
r = 176 / (2π)
r ≈ 28.03 cm
We're also given the height of the cylinder as 1 meter, or 100 cm.
With the radius and height in hand, we can now calculate the cylinder's lateral surface area.
The lateral surface area formula is :
L = 2πrh
where L is the lateral surface area, r is the radius, and h is the height.
Plugging in the values we found, we get:
L = 2π(28.03)(100)
L ≈ 5,562.25 cm²
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