A cone has a radius of 2 cm and a height of 6 cm. What is its volume?

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Question: A cone has a radius of 2 cm and a height of 6 cm. What is its volume?

Options:

Correct Answer: 25.13 cm³

Solution:

Volume = (1/3)πr²h = (1/3)π(2)²(6) = (1/3)π(4)(6) = 8π ≈ 25.13 cm³.

A cone has a radius of 2 cm and a height of 6 cm. What is its volume?

A cone has a radius of 2 cm and a height of 6 cm. What is its volume?

Step 1: Identify the formula for the volume of a cone, which is Volume = (1/3)πr²h.
Step 2: Identify the values for the radius (r) and height (h) of the cone. Here, r = 2 cm and h = 6 cm.
Step 3: Substitute the values of r and h into the formula: Volume = (1/3)π(2)²(6).
Step 4: Calculate (2)², which is 4.
Step 5: Substitute 4 back into the formula: Volume = (1/3)π(4)(6).
Step 6: Multiply 4 by 6 to get 24: Volume = (1/3)π(24).
Step 7: Now, divide 24 by 3 to get 8: Volume = 8π.
Step 8: If needed, calculate the approximate value of 8π, which is about 25.13 cm³.

Volume of a Cone – The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.