Volume of Hollow Cylinder
Question 1: What is a hollow cylinder? Give some examples of a hollow cylinder.
Answer:
A hollow cylinder can be defined as a three-dimensional geometric object that is empty from the inside. A hollow cylinder consists of two circular bases that have inner and outer radii. Straws, water pipes, tubes, toilet paper rolls, etc. are some examples of hollow cylinders that we see in our daily lives.
Question 2: What is the formula to calculate the thickness of a hollow cylinder?
Answer:
The thickness of a hollow cylinder is the enclosed space between the inner radius and the outer radius, which is equal to the difference between the internal and external radius.
Thickness of the hollow cylinder (t) = R − r
where,
“R” is the outer radius of the given cylinder
“r” is the inner radius of the given cylinder
Question 3: What is the formula to calculate the total surface area of a hollow cylinder?
Answer:
The total surface area of the hollow cylinder is the sum of its curved surface area and the areas of its two circular bases.
Total Surface Area of Hollow Cylinder = [2πh (R + r) + 2π(R² – r²)] square units
where,
“h” is the height of the hollow cylinder,
“R” is the outer radius of the given cylinder, and
“r” is the inner radius of the given cylinder.
Question 4: What does the volume of a hollow cylinder change as its height triples?
Answer:
From the formula for the volume of a hollow cylinder, we can conclude that the volume is directly proportional to the height of the hollow cylinder. So, as the height of the hollow cylinder triples, its volume will also be tripled.
Related Resource
Volume of a Hollow Cylinder
A cylinder is a three-dimensional object that is formed when a rectangle is rotated along any of its sides. A hollow cylinder is one type of cylinder that is hollow from the inside. A hollow cylinder can be defined as a three-dimensional geometric object that is empty from the inside. A hollow cylinder consists of two circular bases that have inner and outer radii. The circular bases are similar to an annular ring, which is a region bounded by two concentric circles.