
A hollow metallic cylinder is made from a metallic sheet of thickness. The outer radius of the cylinder is and length is then find the volume of metal.
Answer
507.6k+ views
Hint:Volume of hollow cylinder gives volume of metal so volume of hollow cylinder so here is outer radius of the cylinder and is inner radius of cylinder and 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 .
Complete step-by-step answer:
A hollow metallic cylinder made from a metallic sheet of thickness.
The outer radius of the cylinder is and length is
The volume of metal
Now here is inner radius
So we find first inner radius
Thickness = outer radius – inner radius or
By solving that we get
So by putting value of inner radius , outer radius and length we get
So
Now we know that
So by solving this we get
By multiplying all the term we get
Therefore the volume of metallic cylinder is
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 =
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.
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
Complete step-by-step answer:
A hollow metallic cylinder made from a metallic sheet of
The outer radius of the cylinder is
The volume of metal
Now here
So we find first inner radius
Thickness = outer radius – inner radius or
By solving that we get
So by putting value of inner radius , outer radius and length we get
So
Now we know that
So by solving this we get
By multiplying all the term we get
Therefore the volume of metallic cylinder is
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 =
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.
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