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

If the perimeter of a square is 36 cm, what is the length of its diagonal?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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

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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 sum of all odd numbers from 1 to 99?

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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

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What is the greatest common divisor (GCD) of 36 and 48?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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

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