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