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Geometry Volume & Surface Area of a Cone Worksheet with Step-by-Step Solutions

Geometry Volume & Surface Area of a Cone Worksheet with Step-by-Step Solutions

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

16 August 2026

pdf, 138.48 KB
pdf, 138.48 KB

his Volume and Surface Area of a Cone Worksheet features 4 geometry problems complete with step-by-step worked solutions. Ideal for KS3 and KS4 maths classes.

Save time on marking with this ready-to-print geometry resource. This PDF worksheet is designed to test your students’ spatial and geometric understanding of three-dimensional shapes.
Instead of just providing final answers, this resource includes a fully worked-out solution key for every single question. This allows students to work independently, self-correct, and track exactly where they made an arithmetic mistake.

Skills Covered:
• Applying Pythagoras’ Theorem to determine unknown perpendicular heights ((h)) or slant heights ((l)).
• Calculating the curved/lateral surface area of a cone.
• Calculating the base area and total surface area of a cone.
• Finding the exact volume of a cone.
• Expressing answers both in exact terms of Pi ((\pi )) and rounded decimal approximations.

What is Included?
• Student Worksheet (Pages 1-4): 4 clean, uncluttered pages with one large cone diagram per page, allowing plenty of workspace for students to layout calculations.
• Teacher Solutions Guide (Pages 5-8): 4 corresponding pages demonstrating the formulas used, algebraic substitutions, and final answers.

Perfect For:
• Core Classroom Practice & Assessment
• Homework Assignments
• GCSE Maths Revision & Exam Preparation
• Emergency Cover Lessons (since the worked solutions easily explain the process!)

Target Level & Curriculum:
• Key Stage 3 (Year 9) & Key Stage 4 (Year 10 / Year 11 GCSE)
• Matches UK National Curriculum requirements for calculating properties of 3D shapes and applying right-angled triangle theorems in 3 dimensions.

Get this resource as part of a bundle and save up to 48%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

GCSE Maths Geometry Worksheets Bundle Angles, Polygons & Area Review

A bundle of 10 worksheets (with detailed solutions) on Geometry topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * Angles in parallel lines * Complementary, supplementary and opposite angles * Sum of angles in a triangle * Interior and exterior angles in regular polygons * Units of measurement for area and volume * Area of trapezium * Circumference and area of a circle * Area and volume of a sphere * Volume and surface area of a cone * Density The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory. Save hours of lesson planning with this comprehensive GCSE Maths Geometry Worksheets Bundle! This ready-to-print resource features high-quality practice packets covering angles in parallel lines, interior/exterior angles of polygons, area calculations, and metric unit conversions. Complete with full, step-by-step answer keys, it is ideal for GCSE exam preparation, homework assignments, or structured revision lessons. ________________________________________ Stop spending your evenings drawing geometry diagrams and creating keys from scratch. Give your students the targeted practice they need to master shapes and angles! This GCSE Maths Geometry Revision Pack contains structured worksheet modules packed with scaffolded practice questions. It targets the essential, high-yield topics that secondary students struggle with most on their final exams, making it perfect for both Foundation and Higher tier classes across Years 9, 10, and 11. Every single packet includes fully worked solutions, allowing you to mark papers in seconds or hand them directly to students for effortless self-assessment and independent revision. ________________________________________ **What Topics Are Covered in This Pack?** • **Angles in Parallel Lines:** Master the rules of alternate, corresponding, co-interior, and vertically opposite angles. • **Angle Relationships:** Multi-step algebraic equations using complementary, supplementary, and vertically opposite properties. • **Angles in Triangles:** Practice calculating missing interior sums and missing variables in diverse triangle types. • **Angles in Regular Polygons:** Finding individual interior/exterior angles, interior angle sums, and calculating the number of sides. • **Area of Quadrilaterals:** Practice applying formulas to find the area of regular and irregular quadrilaterals. • **Units of Measurement for Area & Volume:** Converting safely between square and cubic metric units (such as m² to cm² or cm³ to mm³). ________________________________________ **Why Teachers Love This Resource:** • **100% Zero Prep:** Just click download, print your pages, and you are ready to teach. • **Clear, Clean Diagrams:** Professionally rendered shape visuals that display text measurements cleanly. • **Highly Scaffolded:** Questions gently increase in difficulty to build student confidence and algebraic problem-solving skills. • **Versatile Implementation:** Ideal for weekly homework tasks, emergency cover lessons, end-of-unit review packets, or classroom intervention sheets. ________________________________________ **Curriculum Alignment:** • **Key Stage:** Key Stage 4 (KS4) Geometry and Measures, Year 10 and Year 11 Exam Preparation. • **Exam Boards:** Fully aligned with the current GCSE (9-1) specifications for AQA, Edexcel, OCR, and Cambridge iGCSE. ________________________________________

£7.90
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Geometry Volume & Surface Area Bundle | Cones Spheres Cylinders Worksheets

This Volume and Surface Area 3D Shapes Bundle features comprehensive worksheets for cones, spheres, and cylinders, all with complete step-by-step worked solutions. Ideal for KS3 and KS4 maths revision. ________________________________________ Save hours of marking time with this complete 3D geometry printable bundle. This PDF resource package contains three distinct, high-quality worksheet packs designed to test and deepen your students' spatial and geometric understanding of three-dimensional shapes. Instead of just providing final numbers, every single sheet features a fully worked-out solution key detailing every calculation stage. This allows students to work independently, self-correct, and track exactly where they made an arithmetic mistake. **Skills Covered Across the Bundle:** • **Cylinders:** Calculating base area, lateral surface area, total surface area, and volume using radius or diameter. • **Spheres:** Calculating the total surface area and volume of spheres, plus rearranging formulas to find missing radii or diameters from a given volume. • **Cones:** Applying Pythagoras' Theorem to determine unknown perpendicular heights or slant heights before calculating curved surface area, base area, total surface area, and volume. • **Pi Foundations:** Expressing final answers both in exact terms of Pi and rounded decimal approximations. **What is Included in This Bundle?** **1. Volume and Surface Area of a Cylinder Pack** (Student Worksheet + Step-by-Step Teacher Answer Key) **2. Volume and Surface Area of a Sphere Pack** (Student Worksheet + Step-by-Step Teacher Answer Key) **3. Volume and Surface Area of a Cone Pack** (Student Worksheet + Step-by-Step Teacher Answer Key) Each resource features an uncluttered layout with large, clearly labeled diagrams, giving students plenty of workspace to lay out their equations. **Perfect For:** • Core Classroom Practice & Mastery Lessons • Structured Homework Tasks • GCSE Maths Revision & Exam Preparation • Emergency Cover Lessons (the step-by-step solutions essentially teach the process for you!) **Target Level & Curriculum:** • Key Stage 3 (Year 9) & Key Stage 4 (Year 10 / Year 11 GCSE) • Aligns with the UK National Curriculum requirements for calculating properties of 3D shapes and applying right-angled triangle theorems in 3 dimensions.

£2.90

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