Answer:
3142.86 cubic cm
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
where r is radius of circle
thus area of base of cone is calculated below
![\pi 10^2\\=> 22/7 *100\\=> 314.2857](https://img.qammunity.org/2021/formulas/mathematics/college/rve6jr9u7tvjgx6vudy6acv7kgiddj1w8y.png)
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