A cone has a radius of 10 cm and and height of 9 cm. What is the approximate volume of the cone? Use 3.14 for π.


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Respuesta :

Answer:

The volume of the cone is [tex]942cm^3[/tex]

Step-by-step explanation:

The given cone has a radius of 10 cm and and height of 9 cm.

The volume of a cone is given by:

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

We substitute r=10 and h=9 ,  [tex]\pi=3.14[/tex] to obtain:

[tex]V=\frac{3.14*10^2*9}{3}[/tex]

Simplify exponents to get:

[tex]V=\frac{3.14*100*9}{3}[/tex]

Simplify:

[tex]V=314*3\\V=942cm^3[/tex]

Therefore the volume of the cone is [tex]942cm^3[/tex]