50 circular plates each of radius 7cm and thickness 5mm are placed one above the other,to form a solid right circular cylinder.Find the total surface area and the volume of the cylinder so formed
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Hi here is ur answer!!!
The solid formed is a cylinder.
Since the radius of the cylinder is same as the radius of the one circular plate.
The radius of the base of the cylinder be r = 7 cm
The height of the cylinder is same as the thickness of 50 circular plates.
Thickness of 1 plate = 0.5 cm.
The height of the cylinder h
= 50*0.5 =25 cm
Total surface area of the cylinder = curved surface area of the cylinder + 2*area of the base
2πrh + 2πr^2
2πr(r+h)
=2×22/7×7(7+25)
=1408cm^2
Volume of the cylinder = πr^2h
=22/7×7×7×25
=3850cm^3
Space left in a cubical box=Volume of box−volume of solid
=25^3−3850
=15625−3850
=11775cm^3
Hope u understood
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