Question

The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))

• A. 264 cm\(^3\)
• B. 792 cm\(^3\)
• C. 301 cm\(^3\)
• D. 616 cm\(^3\)

Hint:

The volume of a cone is given by \(\frac{1}{3} \pi r^2 h\). Make sure to use the correct value of \(\pi\) and the appropriate units.

Answer 1

The Correct Option is A

The formula for the volume of a cone is: \[ \text{Volume} = \frac{1}{3} \pi r^2 h \] where \(r = 6 \, \text{cm}\) and \(h = 7 \, \text{cm}\). Using \(\pi = \frac{22}{7}\), we substitute the values: \[ \text{Volume} = \frac{1}{3} \times \frac{22}{7} \times 6^2 \times 7 = \frac{1}{3} \times \frac{22}{7} \times 36 \times 7 = \frac{1}{3} \times 22 \times 36 = 264 \, \text{cm}^3 \] Thus, the correct answer is option (1).