Respuesta :
The volume of the cone with a height of 6 cm and a base diameter of 6 cm is 169.56 cubic cm.
How to find the volume of a right circular cone?
Suppose that the radius of the considered right circular cone is 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
The right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
Given a cone with a height of 6 cm and a base diameter of 6 cm.
r = 3 cm
h = 6 cm
The volume of the cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
[tex]V = \dfrac{1}{3} \times 3.14 \times3 ^3 \times 6 \: \rm unit^3\\\\V = 3.14\times 54\\\\V = 169.56[/tex]
Therefore, the volume of the cone is 169.56 cubic cm.
Learn more about the volume of cone here:
https://brainly.com/question/26093363
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