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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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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What is the probability of drawing an ace from a standard deck of 52 cards?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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