VOLUMEN DE UN CILINDRO Super Facil - Para principiantes

Summary

In this video, Daniel Carrión explains the concept of calculating the volume of cylinders. He covers the basic formula for volume—base area multiplied by height—and demonstrates it with two examples. In the first, a cylinder with a 10 cm radius and 20 cm height is used, and in the second, a cylinder with a 14 cm diameter and 11 cm height. Carrión walks through each step, showing how to calculate the area of the base and then apply it to find the volume. The video concludes with a challenge for viewers to solve similar problems and invites engagement through likes, comments, and subscriptions.

Takeaways

• 😀 The volume of a cylinder is the space it occupies, or how many unit cubes fit inside it.
• 😀 To calculate the volume of a cylinder, you need to know three key elements: the base area, the radius of the base, and the height of the cylinder.
• 😀 The formula for the volume of a cylinder is: Volume = Area of the base × Height.
• 😀 The area of the base is calculated using the formula: Area = π × radius² (since the base is a circle).
• 😀 In the first example, the cylinder has a radius of 10 cm and a height of 20 cm. The area of the base is 314.16 cm².
• 😀 To calculate the volume of the first cylinder, multiply the area of the base (314.16 cm²) by the height (20 cm), resulting in 6,283.2 cm³.
• 😀 This means the first cylinder can fit 6,283 unit cubes, each with a side length of 1 cm.
• 😀 In the second example, the cylinder has a diameter of 14 cm, so the radius is half of that, 7 cm.
• 😀 The area of the base for the second cylinder is 153.93 cm², calculated by π × 7².
• 😀 The volume of the second cylinder is found by multiplying the area of the base (153.93 cm²) by the height (11 cm), resulting in 1,693.23 cm³.
• 😀 This means the second cylinder can fit 1,693 unit cubes, each with a side length of 1 cm.

Q & A

What is the definition of volume in this script?

Volume is the space that an object occupies or how many cubes of a certain size can fit inside the object.

What are the key parts of a cylinder that we need to know to calculate its volume?

The key parts of a cylinder are the base, the radius of the base, and the height of the body.

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

The formula for calculating the volume of a cylinder is: Volume = Area of the base × Height.

How do we calculate the area of the base of a cylinder?

The area of the base of a cylinder is calculated using the formula: Area = π × radius².

In the first example, what are the radius and height of the cylinder?

In the first example, the radius is 10 centimeters and the height is 20 centimeters.

What is the value of π used in the calculations?

The value of π used in the calculations is 3.1416.

How do you calculate the area of the base in the first example?

To calculate the area of the base, you use the formula π × radius². Substituting the values: 3.1416 × 10² = 3.1416 × 100 = 314.16 square centimeters.

What is the final volume of the cylinder in the first example?

The final volume of the cylinder in the first example is 6,283.2 cubic centimeters.

How do we handle the diameter of a cylinder when calculating its volume?

When the diameter is given, the radius is simply half of the diameter. For example, if the diameter is 14 centimeters, the radius would be 7 centimeters.

What is the volume of the second cylinder in the example with a diameter of 14 centimeters and height of 11 centimeters?

The volume of the second cylinder is 1,693.23 cubic centimeters.