Volume of a Cylinder from a Rectangular Piece of Paper

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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.

Can the lateral surface area of a cuboid be written as the perimeter of the base multiplied by the height of the cuboid?

No

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

8000 cm² Signup and view all the answers

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

<code>480</code> 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?

<code>640</code> 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?

38.5 cm^3 Signup and view all the answers

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

Number of cement bags required to plaster it. 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?

Cylinder B 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?

5 cm 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?

150 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?

5 m Signup and view all the answers

How can the volume of a cylinder be found?

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

What is the formula for the volume of a cylinder?

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. Signup and view all the answers

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

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

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

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

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

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

What is the difference between volume and capacity?

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