Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answer to the nearest tenth of a cubic meter.

Respuesta :

Step-by-step explanation:

We have,

Height of cone, h = 12.7 m

Circumference of base, C = 18.9 m

The base of a circular cone is circular. The circumference of circle is given by :

[tex]C=2\pi r[/tex]

r is radius

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{18.9 }{2\pi}\\\\r=3\ m[/tex]

The volume of a right circular cone is given by the formula as :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V=\dfrac{1}{3}\times 3.14 \times 3^2\times 12.7\\\\V=119.634\ m^3[/tex]

Answer:

120.3 cm cubed (this is the right answer for delta math)

Step-by-step explanation: