Question

find the volume of a cone if: radius is \\(5\text{ cm}\\) and height is \\(12\text{ cm}\\).

\\(\bigcirc\\) \\(62.8\text{ cm}^3\\)
\\(\bigcirc\\) \\(314.2\text{ cm}^3\\)
\\(\bigcirc\\) \\(754\text{ cm}^3\\)
\\(\bigcirc\\) \\(125.7\text{ cm}^3\\)

Explanation:

⚡ Using what you learned: volume of prisms, pyramids, cylinders, cones, spheres

Step 1: Identify the formula and given values

$$ V = \frac{1}{3} \pi r^2 h $$

Given:

• \( r = 5\text{ cm} \)
• \( h = 12\text{ cm} \)

Step 2: Substitute and calculate

$$ V = \frac{1}{3} \pi (5)^2 (12) $$

$$ V = \frac{1}{3} \pi (25) (12) $$

$$ V = 100 \pi \approx 314.159\text{ cm}^3 $$

Rounding to one decimal place:

$$ V \approx 314.2\text{ cm}^3 $$

Answer:

\( 314.2\text{ cm}^3 \)