A cone has a base radius of 2 cm and a height of 6 cm. What is the volume of the

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

Options:

Correct Answer: 12π cm³

Solution:

Volume of a cone = (1/3)πr²h = (1/3)π(2)²(6) = (1/3)π(4)(6) = 8π cm³.

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

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

Step 1: Identify the formula for the volume of a cone, which is Volume = (1/3)πr²h.
Step 2: Identify the values needed for the formula. The base radius (r) is 2 cm and the height (h) is 6 cm.
Step 3: Substitute the values 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, which gives 24.
Step 7: Substitute 24 back into the formula: Volume = (1/3)π(24).
Step 8: Calculate (1/3) of 24, which is 8.
Step 9: The final volume is 8π cm³.

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