Question

The radius of the base of a right circular cone is 3.5 cm and height is 12 cm. Find the volume of the cone.

Hint:

Volume of a cone = \( \dfrac{1}{3}\pi r^2 h \). Always square the radius before multiplying with height.

Answer 1

Step 1: Use the volume formula of a cone.
\[ V = \frac{1}{3}\pi r^2 h \]
Step 2: Substitute given values.
\[ V = \frac{1}{3}\pi (3.5)^2 (12) \] \[ V = \frac{1}{3}\pi (12.25)(12) = \frac{147}{3}\pi = 49\pi \, \text{cm}^3 \]
Step 3: Final Answer.
\[ \boxed{V = 49\pi \, \text{cm}^3 \approx 153.94 \, \text{cm}^3} \]