Respuesta :

Answer:

405π

Step-by-step explanation:

π[tex]r^2\frac{h}3}[/tex]

Diameter is twice the radius. So divide 18 by 2 which is 9.

π[tex]9^2\frac{15}{3}[/tex]

Now just simplify:

π·81·5

405π

Volume of cone is 1272.34502  [tex]cm^{3}[/tex]

What is volume of cone?

The volume of a cone is defined as the amount of space or capacity a cone occupies. The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone.

Given

Diameter of cone = 18 cm

Radius of cone = [tex]\frac{18}{2}[/tex] = 9 cm

Height of cone = 15 cm

Volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

= [tex]\frac{1}{3} \pi (9)^{2} (15)[/tex]

= 1272.34502 [tex]cm^{3}[/tex]

Hence, volume of cone is 1272.34502  [tex]cm^{3}[/tex]

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