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 area of a sector of a circle with radius 14 cm and central angle 90°?

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

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What is the sum of the first 20 odd numbers?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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What is the area of an equilateral triangle with side length 10 cm?

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The probability of getting an even number when rolling a die is:

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What is the HCF of 72 and 120?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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