The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to ...(mm)2
Here we have to find the surface area of a solid cylinder whose radius and height is given.
Surface area of a solid cylinder having radius ‘r’ and height ‘h’
S.A = Curved surface area + Area of base and upper portion
In a solid cylinder Base & upper portions are in the form of a circle of radius ‘r’
S.A = 2πrh + 2πr2 . -------------------- (1)
Where r = radius of the upper and lower portions
h = height of the cylinder.
Here values of ‘r’ and ‘h’ are given.
Note: Here we have to convert the values of ‘r & ‘h’ from cm to mm.
r = 2 cm = 20 mm
h = 10 cm = 100 mm
Substituting the values of ‘r’ and ‘h’ in equation (1).
S.A = 2πrh + 2πr2
= 2πr(r +h) π
= 2 × (22/7) × 20(20+100) mm2.
= 1.5 × 104 mm2
The surface area of the solid cylinder = 1.5 × 104 mm2