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.

Frequently Asked Questions

This volume and surface area worksheet is designed for students in Year 10 and Year 11 and aligns with the UK National Curriculum.