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A hollow metallic cylinder is made from a metallic sheet of 2.6cm thickness. The outer radius of the cylinder is 3.8cm and length is 50cm then find the volume of metal.

Answer
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Hint:Volume of hollow cylinder gives volume of metal so volume of hollow cylinder V=π×(r1r2)2×l so here r1 is outer radius of the cylinder and r2 is inner radius of cylinder and l is length of cylinder.
As we see in this question there is no inner radius so to find inner radius we use a formula that is thickness = outer radius – inner radius or r1r2 .

Complete step-by-step answer:
A hollow metallic cylinder made from a metallic sheet of 2.6cm thickness.
The outer radius of the cylinder is r1=3.8cm and length l is 50cm
The volume of metal V=π×(r1r2)2×l
Now here r2 is inner radius
So we find first inner radius
Thickness = outer radius – inner radius or r1r2
2.6=3.8r2
By solving that we get
r2=1.2cm
So by putting value of inner radius , outer radius and length we get
So V=π×(3.82.6)2×50
Now we know that π=3.14
So by solving this we get
V=3.14×(1.2)2×50
By multiplying all the term we get
V=226.68cm3
Therefore the volume of metallic cylinder is V=226.68cm3

Note:A hollow cylinder is one which is empty from inside and has some difference between the internal and external radius. We see hollow cylinders every day in our day to day lives. Tubes, circular buildings, straws these are all examples of a hollow cylinder.
Lateral Surface Area of a hollow cylinder = 2πh(r1+r2)
A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface. The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.