Volumes of 3D shapes (Edexcel GCSE Maths): Quizzes

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Volumes of 3D shapes
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What is the volume formula for a circular cone?

13πr2h\frac{1}{3}\pi r^2h

Which volume formula uniquely uses 43\frac{4}{3}?

Sphere

What is the volume formula for a pyramid?

13Ah\frac{1}{3}Ah

Which shapes have volume formulae starting with 13\frac{1}{3}?

Cones and pyramids

What is the volume of a cone with r=3r=3 cm and h=8h=8 cm?

24π24\pi cm3^3

What is the volume of a cylinder with r=4r=4 cm and h=12h=12 cm?

192π192\pi cm3^3

A cylinder has volume 192π192\pi cm3^3 and a cone 24π24\pi cm3^3. What is the ratio?

Cylinder is 8 times cone

When a cone and sphere have equal volumes, what should you do first?

Set volume expressions equal

Why leave answers in terms of π\pi when possible?

To avoid rounding errors

What is a common exam question type for volumes?

Comparing volumes by finding ratios

What makes the sphere volume formula easy to distinguish from others?

It uses 43\frac{4}{3}

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