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 a:b = 7:9 and b:c = 5:6, what is a:c?

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What is the sum of all odd numbers from 1 to 99?

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If x^2 + 4x + 4 = 0, what is the value of x?

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If the sum of three consecutive integers is 96, what are the integers?

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What is the length of the diagonal of a square with a side length of 7 cm?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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What is the area of a circle with a diameter of 14 cm?

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

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What is the LCM of 15 and 20?

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What is the sum of all angles in a hexagon?

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