Question

a rectangular sheet of aluminium foil is 44cm long and 22cm wide.a cylinder is made out of it by rolling the foil along its length find the total surface area of the cylinder

Answer 1

Length of rectangular sheet = Height of cylindrical sheet h
So, Height​ of cylindrical sheet =44cm

According to question=>
Area of rectangular sheet = Lateral surface area of cylindrical sheet
So, l*b = 2*pi*r*h
44 *22 = 2 * 3.14 * r* 44
968 = 276.32* r
r = 968/276.32
r = 3.50
So, T. S. A. of cylindrical sheet = 2*pi*r(r+h)
=2*3.14*3.50(3.50+44)
= 21.98*47.5
= 1044.05 cm^2

Answer 2

Answer:

3388 cm³

Step-by-step explanation:

Since the radius of the cylinder is not known, we have to use the perimeter of the circle to find it. We will take the perimeter as 44 cm.

P of a circle= 2πr

2×22/7×r = 44

r= 44×7/44

∴ r= 7cm

Now that we've found the radius of the cylinder, we can now find the volume.

V of a cylinder= πr²h

22/7 × 49 × 22= 3388 cm³

Hence, the volume of the cylinder is 3388 cm³.

Hope this helps