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What is the surface area of a sphere with a diameter of 10 cm?

Practice Questions

Q1
What is the surface area of a sphere with a diameter of 10 cm?
  1. 100π cm²
  2. 50π cm²
  3. 25π cm²
  4. 75π cm²

Questions & Step-by-Step Solutions

What is the surface area of a sphere with a diameter of 10 cm?
  • Step 1: Identify the diameter of the sphere, which is given as 10 cm.
  • Step 2: Calculate the radius of the sphere. The radius is half of the diameter, so divide the diameter by 2: 10 cm / 2 = 5 cm.
  • Step 3: Use the formula for the surface area of a sphere, which is Surface Area = 4πr².
  • Step 4: Substitute the radius (5 cm) into the formula: Surface Area = 4π(5)².
  • Step 5: Calculate (5)², which is 25.
  • Step 6: Multiply 4 by π and then by 25: 4π(25) = 100π.
  • Step 7: Write the final answer: The surface area of the sphere is 100π cm².
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