Volume of Conical Frustums WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Understanding and applying the formula for the volume of a cone. Knowledge of similar shapes and proportional reasoning.

Volume of Conical Frustums WORKSHEET DESCRIPTION

This worksheet builds fluency in finding the volume of conical frustums through a clear and well-sequenced structure.

It begins in Section A with straightforward volume calculations for individual cones, reinforcing the formula and helping students visualise the components of a frustum.

In Section B, students use this knowledge to calculate the volume of a frustum by subtracting the volume of the smaller cone from the larger.

Section C adds a layer of complexity, asking students to use similar shapes to find missing lengths before calculating volumes. It concludes with a bound question that challenges students to apply estimation and reasoning skills to justify their answers. This gradual progression ensures pupils develop both confidence and depth of understanding.