Find the volume of a sphere with a radius of 5 cm.

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Question: Find the volume of a sphere with a radius of 5 cm.

Options:

Correct Answer: 523.60 cm³

Solution:

Volume = (4/3)πr³ = (4/3)π(5)³ = (500/3)π ≈ 523.60 cm³.

Find the volume of a sphere with a radius of 5 cm.

Find the volume of a sphere with a radius of 5 cm.

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, so we replace r with 5: 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: Now substitute 125 back into the formula: Volume = (4/3)π(125).
Step 5: Multiply (4/3) by 125: (4 × 125) / 3 = 500 / 3.
Step 6: So now we have Volume = (500/3)π.
Step 7: To get a numerical approximation, calculate (500/3)π. Using π ≈ 3.14, we find (500/3) × 3.14 ≈ 523.60.
Step 8: Therefore, the volume of the sphere is approximately 523.60 cm³.

Volume of a Sphere – The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.