Higher
Find the volume of a frustum
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Lesson details
Key learning points
- In this lesson, we will learn how to find the volume of a frustum. We will model the formulae required, and investigate the frustum of a cone and a square based pyramid.
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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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3 Questions
Q1.
If a solid metal sphere with radius 90 cm was melted down to make smaller spheres of with 3 cm radius, how many smaller spheres could be made?
30
300
900
Q2.
The diagram shows a pencil crayon. The sharpened part of the pencil forms a cone attached to a cylindrical main part of the pencil. Work out the total volume of the pencil crayon to the nearest cm³.
13 cm³
29 cm³
5 cm³
Q3.
The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.
12,000 cm³
600 cm³
8000 cm³
3 Questions
Q1.
Which shape shows a frustum?
B
Q2.
Work out the volume of the frustum. Round your answer to 1 decimal place.
188.5 cm³
636.7 cm³
695.3 cm³
Q3.
Work out the volume of the frustum. Round your answer to 1 decimal place.
106.7 cm³
320 cm³
5120 cm³