Question

find the area of the sheet required to cover both ends of an open cylinder whose curved area is 3080 cm² and height is 35 cm.​

Answer 1

Answer:

area of the sheet required to cover both ends of an open cylinder is 1232 cm²

Step-by-step explanation:

we should find the radius of cylinder to find the area of open ends

given area of curved = 3080 cm²

height  = 35 cm

area of curved cylinder = 2πr×h

3080 = 2πr×35

3080/35 = 2πr

88= 2πr

(88×7)/44 = r

r = 14 cm

now we can calculate the area of open end

area of open end =

πr² = (22/7) 14²

= 616 cm²

area of one open end = 616 cm²

so the area of both open end

2×616 = 1232 cm²

area of the sheet required to cover both ends of an open cylinder is 1232 cm²