If the radius of a sphere is 3 cm, what is its volume? (2022)

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Question: If the radius of a sphere is 3 cm, what is its volume? (2022)

Options:

Correct Answer: 27π cm³

Exam Year: 2022

Solution:

Volume = (4/3) * π * (radius)³ = (4/3) * π * (3)³ = (4/3) * π * 27 = 36π cm³

If the radius of a sphere is 3 cm, what is its volume? (2022)

If the radius of a sphere is 3 cm, what is its volume? (2022)

Step 1: Identify the formula for the volume of a sphere, which is Volume = (4/3) * π * (radius)³.
Step 2: Substitute the radius value into the formula. Here, the radius is 3 cm.
Step 3: Calculate (3)³, which means 3 multiplied by itself three times: 3 * 3 * 3 = 27.
Step 4: Now substitute this value back into the formula: Volume = (4/3) * π * 27.
Step 5: Multiply (4/3) by 27. First, calculate 4 * 27 = 108, then divide by 3: 108 / 3 = 36.
Step 6: So, the volume is 36π cm³.

Volume of a Sphere – The formula for the volume of a sphere is derived from calculus and is given by V = (4/3) * π * r³, where r is the radius.