The volume of a right circular cone is 68.2 cubic centimeter
Solution:
Given that a right circular cone, we have to find the volume of cone
Height = 9 cm
Base with a circumference of 16.9 cm
Therefore,
[tex]2 \pi r = 16.9\\\\2 \times 3.14 \times r = 16.9\\\\6.28r = 16.9\\\\ r = \frac{16.9}{6.28}\\\\r = 2.691[/tex]
Therefore, r = 2.691 cm
The volume of a right circular cone is given as:
[tex]V = \frac{\pi r^2h}{3}[/tex]
Where, "r" is the radius and "h" is the height of cone
[tex]V = \frac{3.14 \times 2.691^2 \times 9}{3}\\\\V = 3.14 \times 2.691^2 \times 3\\\\V = 68.214 \approx 68.2[/tex]
Thus volume of a right circular cone is 68.2 cubic centimeter
