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# Volume of a Cylinder from a Rectangular Piece of Paper

Created by
@OpulentNavy

### What is the total surface area of a cylinder?

$2 ext{π}r(r+h)$

### How can the lateral surface area of a cylinder be calculated?

By multiplying the circumference of the base by the height of the cylinder.

No

### In Example 4, what is the total area of the colored paper required to cover the aquarium?

<p>8000 cm²</p> Signup and view all the answers

### In Example 5, what is the total cost of whitewashing all four walls of the room?

<p><code>480</code></p> Signup and view all the answers

### What will be the cost of whitewashing if the ceiling of the room is also whitewashed in Example 5?

<p><code>640</code></p> Signup and view all the answers

### What is the volume of the cylinder made from a rectangular piece of paper with dimensions 11 cm x 4 cm, and a height of 4 cm?

<p>38.5 cm^3</p> Signup and view all the answers

### When will you find the surface area of a cylindrical tank?

<p>Number of cement bags required to plaster it.</p> Signup and view all the answers

### Without calculations, which cylinder has a greater volume: Cylinder A with diameter 7 cm and height 14 cm, or Cylinder B with diameter 14 cm and height 7 cm?

<p>Cylinder B</p> Signup and view all the answers

### What is the height of a cuboid with a base area of 180 cm^2 and a volume of 900 cm^3?

<p>5 cm</p> Signup and view all the answers

### How many small cubes with a side length of 6 cm can be placed in a cuboid with dimensions 60 cm x 54 cm x 30 cm?

<p>150</p> Signup and view all the answers

### What is the height of a cylinder with a volume of 1.54 m^3 and a diameter of the base as 140 cm?

<p>5 m</p> Signup and view all the answers

### How can the volume of a cylinder be found?

<p>The volume of a cylinder can be found by multiplying the area of the base (πr^2) by the height (h).</p> Signup and view all the answers

### What is the formula for the volume of a cylinder?

<p>The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.</p> Signup and view all the answers

### Calculate the volume of a cylinder with radius 5 cm and height 10 cm.

<p>The volume of the cylinder is 250π cubic cm.</p> Signup and view all the answers

### Can two cylinders with the same volume have different surface areas?

<p>Yes, two cylinders with the same volume can have different surface areas.</p> Signup and view all the answers

### Explain the relationship between the volume and capacity of an object.

<p>Volume refers to the space occupied by an object, while capacity refers to the quantity a container holds.</p> Signup and view all the answers

### What is the difference between volume and capacity?

<p>Volume refers to the space occupied by an object, while capacity refers to the quantity a container can hold.</p> Signup and view all the answers

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