25 circular plates, each of radius 10.5 cm and thickness 1.6 cm, are placed one above the other to form a solid circular cylinder. Find the curved surface area and the volume of the cylinder so formed.
Answers
Answer:
The Curved surface area of the cylinder is 2640 cm² & Volume of the cylinder is 13860 cm³
Step-by-step explanation:
Given :
Number of circular plates = 25
Radius of each circular plate = 10.5 cm
Thickness of circular plates = 1.6 cm
Total thickness of plates, h = 1.6 × 25 = 40 cm
Plates are placed one above other so they form a cylinder.
Volume of the cylinder = πr²h
= 22/7 × 10.5² × 40
= 22/7 × 10.5 × 10.5 × 40
= 22 × 1.5 × 10.5 × 40
Volume of the cylinder =13860 cm³
Curved surface area of a cylinder = 2πr×h
= 2 × 22/7 × 10.5 × 40
= 44 × 1.5 × 40
Curved surface area of a cylinder = 2640 cm²
Hence, the Curved surface area of the cylinder is 2640 cm² & Volume of the cylinder is 13860 cm³
HOPE THIS ANSWER WILL HELP YOU...
Given that 250 circular plates each with radius 10.5 cm
Thickness is 1.6 cm.
Since plates are placed one above the other so its height becomes =1.6*25 =40 cm
Volume of the cylinder = ∏r2h
= ∏10.52×40 =13860 cm³
Curved surface area of a cylinder = 2∏r×h
= 2∏10.5×40 = 2640cm2
Volume of the cylinder is 13860 cm³
Curved surface area of the cylinder is
2640 cm2
Hope its help you