Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

球の体積の公式を使う

球の体積の公式を使う

球の半径が体積の計算にどのように影響するかを観察しましょう．

GeoGebra JA

Author:

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学んだことを全てまとめましょう

これらの自由回答形式の質問に，自分で，あるいは他の人と一緒に考えて，学んでいる内容の理解を深めましょう．

Open-ended question 1

半径が変わると球体の体積はどのように変わりますか？

Text and math input

Open-ended question 2

球体の体積を求めるのに操作の順に説明してください．

Text and math input

GeoGebra JA

Author:

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Prerequisite Resources

Exploration

GR. 6-8

Calculating the Surface Area of Cylinders Using Nets

Exploration

GR. 6-8

Cylinder Volume Word Problems

Exploration

GR. 6-8

Calculating the Surface Area of Prisms Using Nets

More from Surface Area and Volume of a Sphere

Exploration

GR. 6-8

Discovering the Formula for the Volume of a Sphere

Exploration

GR. 6-8

Using the Formula for the Volume of a Sphere

Practice

GR. 6-8

Calculating the Volume of a Sphere

Next Resources

Exploration

GR. 6-8

Exploring How Scale Factor Affects Area

Exploration

GR. 6-8

Exploring Scaled Area Calculations

Practice

GR. 6-8

Finding the Area of Similar Figures Using Scale Factor