Topic Details (Notes format)

How to Calculate the Volume of a Sphere

Subject: Mathematics

Book: Maths Mastery

Spheres—like balls, bubbles, and planets—have volume calculated by V = (4/3)πr³, where r is the radius. For example, if a ball has a radius of 5 cm, its volume is (4/3)π × 5³ = (4/3)π × 125 = 500π/3 cm³. Mastering this formula is pivotal for fields such as astronomy (calculating planetary volumes), engineering (designing spherical tanks), or everyday tasks like assessing ball capacity. As you integrate spherical volume into your mathematical toolkit, you gain insight into global geometry and problem-solving that intersects with multiple scientific applications.

Practice Questions

If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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What is the value of log₃(27)?

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What is the sum of all even numbers between 1 and 50?

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A sphere has a radius of 7 cm. What is its volume?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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What is the square root of 144?

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If 3x = 81, what is the value of x?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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The LCM of 12 and 15 is:

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