Question:
What is the volume of a cone with a radius of 3 cm and a height of 4 cm? (Use \( \pi \approx 3.14 \))
What is the volume of a cone with a radius of 3 cm and a height of 4 cm? (Use \( \pi \approx 3.14 \))
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The volume of a cone is one-third the product of the base area (\(\pi r^2\)) and the height.
Updated On: Oct 4, 2025
- 28.26 cm\(^3\)
- 37.68 cm\(^3\)
- 40.20 cm\(^3\)
- 45.12 cm\(^3\)
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The Correct Option is B
Solution and Explanation
Use the formula for the volume of a cone:
\[
V = \frac{1}{3} \pi r^2 h.
\]
Substitute the given values:
\[
V = \frac{1}{3} \times 3.14 \times 3^2 \times 4 = \frac{1}{3} \times 3.14 \times 9 \times 4.
\]
Calculate step-by-step:
\[
= \frac{1}{3} \times 3.14 \times 36 = \frac{1}{3} \times 113.04 = 37.68.
\]
Therefore, the volume of the cone is \(37.68\).
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