A sphere has a diameter of 10 cm. What is its volume? (Use π = 3.14)

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Question: A sphere has a diameter of 10 cm. What is its volume? (Use π = 3.14)

Options:

Correct Answer: 523.33 cm³

Solution:

Volume = (4/3)πr³ = (4/3) * 3.14 * (5)³ = 523.33 cm³

A sphere has a diameter of 10 cm. What is its volume? (Use π = 3.14)

A sphere has a diameter of 10 cm. What is its volume? (Use π = 3.14)

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 10 cm by 2. This gives you a radius of 5 cm.
Step 3: Use the formula for the volume of a sphere, which is Volume = (4/3)πr³.
Step 4: Substitute the value of π (3.14) and the radius (5 cm) into the formula. This gives you Volume = (4/3) * 3.14 * (5)³.
Step 5: Calculate (5)³, which is 5 * 5 * 5 = 125.
Step 6: Now substitute 125 into the volume formula: Volume = (4/3) * 3.14 * 125.
Step 7: Calculate (4/3) * 125, which is approximately 166.67.
Step 8: Finally, multiply 166.67 by 3.14 to get the volume. This results in approximately 523.33 cm³.

Volume of a Sphere – The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.
Radius Calculation – Understanding that the radius is half of the diameter, which is crucial for volume calculation.
Use of π – Applying the given value of π (3.14) correctly in the volume formula.