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

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

Options:

Correct Answer: 500/3π

Exam Year: 2021

Solution:

Volume = (4/3)πr³ = (4/3)π(5)³ = (4/3)π(125) = 500/3π cubic units.

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

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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