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

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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The area of an equilateral triangle with side length 6 cm is:

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If 3x = 81, what is the value of x?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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The probability of rolling a sum of 7 with two dice is:

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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 ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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If 2x = 16, what is the value of x?

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

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