Question

The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to ...(mm)²??​

Answer 1

Answer:

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 portionIn 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 portionsh = 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 mmh = 10 cm = 100 mm

Substituting the values of ‘r’ and ‘h’ in equation (1).

S.A = 2πrh + 2πr²

= 2πr(r +h) π

= 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....

Answer 2

Answer:

In this case , we have to find the total surface area of a cylinder.

Given,

r = 2 cm

  = 20 mm

h = 10 cm

  = 100 mm

the total surface area of a cylinder is given by 2πr (r+h)

we take the value of π as 22/7

by substituting the values ,

TSA = 2×22/7×20 (20+100)

       = 2 × 22/7 × 20 × 120

        = 15,085.7 mm²

hence , the total surface area of the cylinder is 15,085.7 mm²

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