A cone has a radius of 4 cm and a height of 9 cm. What is its volume?

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Question: A cone has a radius of 4 cm and a height of 9 cm. What is its volume?

Options:

Correct Answer: 113.10 cm³

Solution:

Volume = (1/3)πr²h = (1/3)π(4)²(9) = 48π ≈ 150.80 cm³.

A cone has a radius of 4 cm and a height of 9 cm. What is its volume?

A cone has a radius of 4 cm and a height of 9 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 4 cm and the height (h) is 9 cm.
Step 3: Substitute the radius and height into the formula: Volume = (1/3)π(4)²(9).
Step 4: Calculate (4)², which is 16.
Step 5: Multiply 16 by 9, which gives you 144.
Step 6: Now multiply 144 by (1/3), which gives you 48.
Step 7: Finally, multiply 48 by π to get the volume: Volume = 48π.
Step 8: If you want a decimal approximation, calculate 48π ≈ 150.80 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.