Length x, in mm is 10π mm or 31.42 mm
The total surface area of the cylinder, in mm squared is 80π mm² or 251.36 mm²
How to determine the total surface area of a cylinder.
Given
radius = 5 mm, h = 3 mm
a) x is the circumference of the circular curved surface (spherical surface).
circumference of circle= 2πr
where
r is radius
x = 2πr
x = 2*5π = 10π mm or 31.42 mm
b) Total surface area = area of circular bases + area of curved surface.
There are two circular bases
Area of circle = πr²
For the two circles = 2πr²
Area of rectangular net = x * h
h = 3 mm
TSA = 2πr² + xh
= 2*π*(5)² + 10π*3
= 50π + 30π
= 80π mm² or 251.36 mm²
Length x, in mm is 10π mm or 31.42 mm
The total surface area of the cylinder, in mm squared is 80π mm² or 251.36 mm²