A cone has a radius of 5 cm and a height of 12 cm. What is its volume?

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Question: A cone has a radius of 5 cm and a height of 12 cm. What is its volume?

Options:

Correct Answer: 94.25 cm³

Solution:

Volume = (1/3)πr²h = (1/3)π(5)²(12) = 100π/3 ≈ 104.72 cm³

A cone has a radius of 5 cm and a height of 12 cm. What is its volume?

A cone has a radius of 5 cm and a height of 12 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 needed for the formula: the radius (r) is 5 cm and the height (h) is 12 cm.
Step 3: Substitute the radius and height into the formula: Volume = (1/3)π(5)²(12).
Step 4: Calculate (5)², which is 25.
Step 5: Multiply 25 by 12, which gives 300.
Step 6: Now multiply 300 by (1/3), which gives 100.
Step 7: Finally, multiply 100 by π to get the volume: Volume = 100π.
Step 8: To express the volume in decimal form, calculate 100π/3, which is approximately 104.72 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.