GCSE Maths - How to Find the Volume of a Frustum #114

The video tutorial explains how to find the volume of a thrustum by considering it as a large cone with a smaller cone removed from the top. It details the process of calculating the volume by first finding the volume of the larger cone and then subtracting the volume of the smaller cone. The tutorial provides a step-by-step guide on determining the dimensions of both cones, including using a scale factor to find the smaller cone's radius. Finally, it demonstrates the calculation of the thrustum's volume using the formula for the volume of a cone.

What is the basic approach to finding the volume of a frustum?

• Multiply the volumes of two cones.

• Add the volumes of two cylinders.

• Find the volume of a large cone and subtract the volume of a smaller cone.

• Calculate the volume of a cylinder and subtract the volume of a sphere.

How do you determine the height of the smaller cone in the example?

• By measuring the height directly from the diagram.

• By adding the heights of the large and small cones.

• By subtracting the height of the small cone from the large cone's height.

• By dividing the height of the large cone by the scale factor.

What is the scale factor used to find the radius of the smaller cone?

• 2.5

• 2.0

• 3.0

• 1.5

What is the formula used to calculate the volume of a cone?

• 1/3 * π * R^2 * H

• 1/2 * π * R^2 * H

• 2/3 * π * R^2 * H

• π * R^2 * H

What is the final volume of the frustum in terms of Pi?

• 320 Pi cm³

• 1560 Pi cm³

• 5000 Pi cm³

• 4900 Pi cm³