Respuesta :

Answer:

3142.86 cubic cm

Step-by-step explanation:

volume of cone is given by formula

volume of cone = 1/3(area of base*height)

Given radius of base = 10cm

we know area of circle is given by [tex]\pi r^2[/tex] where r is radius of circle

thus area of base of cone is calculated below

[tex]\pi 10^2\\=> 22/7 *100\\=> 314.2857[/tex]

area of base of cone is 314.2857 square cm

height = 30 cm

Thus volume of cone  = 1/3* (area of base*height)

                                   = 1/3(314.2857*30)

                                   = 1/3 *9428.571 = 3142.857.

Thus, volume of cone is 3142.857 cubic cm.

volume of cone  to the nearest hundredth is 3142.86 cubic cm