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What is the total surface area of a sphere with a radius of 7 cm?

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Question: What is the total surface area of a sphere with a radius of 7 cm?

Options:

  1. 49π
  2. 98π
  3. 144π
  4. 196π

Correct Answer: 98π

Solution: 

The total surface area of a sphere is given by SA = 4πr². Here, r = 7, so SA = 4π(7)² = 196π.

What is the total surface area of a sphere with a radius of 7 cm?

Practice Questions

Q1
What is the total surface area of a sphere with a radius of 7 cm?
  1. 49π
  2. 98π
  3. 144π
  4. 196π

Questions & Step-by-Step Solutions

What is the total surface area of a sphere with a radius of 7 cm?
  • Step 1: Identify the formula for the total surface area of a sphere, which is SA = 4πr².
  • Step 2: Determine the radius of the sphere. In this case, the radius (r) is 7 cm.
  • Step 3: Substitute the radius into the formula. Replace r with 7 in the formula: SA = 4π(7)².
  • Step 4: Calculate (7)², which is 49.
  • Step 5: Multiply 49 by 4: 4 * 49 = 196.
  • Step 6: Write the final answer in terms of π: SA = 196π.
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