Topic Details (Notes format)

How to Calculate the Surface Area of a Sphere

Subject: Mathematics

Book: Maths Mastery

The total surface area of a sphere, often used for planetary or ball measurements, is given by 4πr², where r is the sphere’s radius. For example, if a sphere has a radius of 6 cm, its surface area is 4π × 6² = 144π cm². This calculation is instrumental in many scientific and engineering fields (e.g., heat transfer, atmospheric analysis) and everyday contexts like manufacturing spherical tanks or sports equipment. Familiarity with this formula complements the sphere volume formula to provide a full understanding of spherical geometry.

Practice Questions

What is the square root of 121?

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

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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The LCM of 12 and 15 is:

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If the radius of a circle is 7 cm, what is its circumference?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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If two complementary angles differ by 30°, what are the angles?

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How many diagonals does a pentagon have?

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

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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