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A sphere has a radius of 5 cm. What is its volume?

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Question: A sphere has a radius of 5 cm. What is its volume?

Options:

  1. 100π/3 cm³
  2. 125π/3 cm³
  3. 150π/3 cm³
  4. 75π/3 cm³

Correct Answer: 125π/3 cm³

Solution: 

Volume = (4/3)πr³ = (4/3)π × (5 cm)³ = (4/3)π × 125 cm³ = 125π/3 cm³.

A sphere has a radius of 5 cm. What is its volume?

Practice Questions

Q1
A sphere has a radius of 5 cm. What is its volume?
  1. 100π/3 cm³
  2. 125π/3 cm³
  3. 150π/3 cm³
  4. 75π/3 cm³

Questions & Step-by-Step Solutions

A sphere has a radius of 5 cm. What is its volume?
  • 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 cm.
  • Step 3: Calculate (5 cm)³, which means 5 cm × 5 cm × 5 cm = 125 cm³.
  • Step 4: Now substitute this value back into the formula: Volume = (4/3)π × 125 cm³.
  • Step 5: Multiply (4/3) by 125 cm³ to get (500/3)π cm³.
  • Step 6: The final volume of the sphere is (125π/3) cm³.
  • Volume of a Sphere – The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.
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