This study notes covers Worked Example 3: Cylinder within Volume of Cuboids & Prisms for GCSE Mathematics. Revise Volume of Cuboids & Prisms in Geometry & Measures for GCSE Mathematics with 20 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 6 of 9 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example 3: Cylinder
A cylinder has radius 4 cm and height 7 cm. Find its volume to 1 decimal place.
Step 1 Write the formula
V = πr²h
Step 2 Square the radius
r² = 4² = 16
Step 3 Calculate
V = π × 16 × 7 = π × 112 = 351.86... = 351.9 cm³
Practice questions for Volume of Cuboids & Prisms
Which formula correctly calculates the volume of a cuboid?
A cuboid measures 10 cm × 10 cm × 10 cm. A cylinder has a diameter of 10 cm and a height of 10 cm. Which shape has the greater volume? Explain your reasoning without calculating exact volumes.