⁴⁄₃πr³: Problem Solving & Reasoning
Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and understanding the volume of spheres using the formula ⁴⁄₃πr³, designed for Grade 8 students to develop procedural skills and reasoning.
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⁴⁄₃πr³: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a sphere with radius 5 cm.
[2 marks]2.
Find the radius of a sphere that has a volume of 1000 cm³.
[3 marks]3.
A sphere's volume is 113.1 cm³. What is its radius?
[3 marks]B
Progression & Application
Answer all questions. Show your working in the grid spaces provided.
1.
A ball has a radius of 8 cm. Calculate its volume.
[3 marks]2.
If the volume of a sphere is doubled, by what factor does the radius increase?
[3 marks]3.
A sphere's radius is tripled. How does the volume change?
[2 marks]C
Real-world Applications
Answer all questions. Show your reasoning clearly.
1.
A scientist is designing a small spherical container with a radius of 2 cm. Calculate its volume to determine if it can hold 50 cm³ of liquid. Will it fit?
[4 marks]2.
A sports ball has a volume of 1500 cm³. If the radius of the ball is increased by 25%, what is the new volume?
[4 marks]D
Challenge & Extension
Answer all questions. Show your working clearly.
1.
Construct a sphere with a volume of 500 cm³. What should be its radius? Show your steps.
[4 marks]2.
Explain why increasing the radius of a sphere by 10% results in more than a 10% increase in volume.
[4 marks]E
Mixed Review
Answer all questions. Show your working.
1.
Calculate the volume of a sphere with radius 10 cm and round to one decimal place.
[2 marks]2.
A sphere's radius is 4 cm. If the volume is mistakenly calculated as 268.08 cm³, identify and correct the error.
[3 marks]3.
Plot the graph of y=2x for x from 0 to 10 on the grid.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet