Question

50 circular plates each of radius 7 cm and thickness 0.5 cm

Answer 1

question:

50 circular plates each of radius 7cm and thickness 1/2 cm are placed one above another to form a solid right circular cylinder.find total surface area and volume of cylinder so formed.

Step-by-step explanation:

Since the radius of the cylinder is same as the radius of the circular plate.

So, the radius of the base of the cylinder = 7 cm

Height of the cylinder is same as the thickness of 50 circular plates.

Thickness of 1 plate = 1/2 cm

Then, thickness of 50 plates = 50*1/2

= 25 cm

Height of the cylinder = 25 cm

Total surface area of cylinder = 2πr(r+h)

= 2*22/7*7(7+25)

= 44*32

Total surface area of the cylinder = 1408 sq cm

Volume of the cylinder = πr²h

= 22/7*7*7*25

= 3850 cu cm

Volume of the cylinder is 3850 cu cm