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A sphere has a radius of 7 cm. What is its surface area?

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Question: A sphere has a radius of 7 cm. What is its surface area?

Options:

  1. 154 cm²
  2. 196 cm²
  3. 308 cm²
  4. 616 cm²

Correct Answer: 196 cm²

Solution:

Surface area of a sphere = 4πr² = 4π(7)² = 4π(49) = 196 cm².

A sphere has a radius of 7 cm. What is its surface area?

Practice Questions

Q1
A sphere has a radius of 7 cm. What is its surface area?
  1. 154 cm²
  2. 196 cm²
  3. 308 cm²
  4. 616 cm²

Questions & Step-by-Step Solutions

A sphere has a radius of 7 cm. What is its surface area?
  • Step 1: Identify the formula for the surface area of a sphere, which is 4πr².
  • Step 2: Substitute the radius (r) into the formula. Here, the radius is 7 cm.
  • Step 3: Calculate (7)², which is 49.
  • Step 4: Multiply 49 by 4, which gives you 196.
  • Step 5: Finally, multiply 196 by π to get the surface area in terms of π, or you can just state it as 196 cm².
  • Surface Area of a Sphere – The formula for calculating the surface area of a sphere is 4πr², where r is the radius.
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