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What is the volume of a sphere with radius 5 units? (2021)

Practice Questions

Q1
What is the volume of a sphere with radius 5 units? (2021)
  1. 500/3π
  2. 125/3π
  3. 100/3π
  4. 200/3π

Questions & Step-by-Step Solutions

What is the volume of a sphere with radius 5 units? (2021)
  • Step 1: Identify the formula for the volume of a sphere, which is Volume = (4/3)πr³.
  • Step 2: Substitute the radius (r) into the formula. Here, the radius is 5 units, so we write it as Volume = (4/3)π(5)³.
  • Step 3: Calculate (5)³, which means 5 multiplied by itself three times: 5 × 5 × 5 = 125.
  • Step 4: Substitute 125 back into the formula: Volume = (4/3)π(125).
  • Step 5: Multiply (4/3) by 125. This gives us (4 × 125) / 3 = 500 / 3.
  • Step 6: Write the final volume as Volume = (500/3)π cubic units.
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