Answer: The radius of cone = 9 cm
Step-by-step explanation:
Formula : Volume of a cone = [tex]\dfrac13 \pi r^2 h[/tex] , where r= radius , h= height of the cone.
Given: Volume = 1,017.36 cubic centimeters
h = 12 centimeters
Substitute these values in formula , we get
[tex]1017.36=\dfrac13 \times3.14\times r^2(12)\ \ \ [\pi=-3.14]\\\\\Rightarrow\ r^2 =\dfrac{1017.36\times}{3.14\times12}\\\\\Rightarrow\ r^2 =\dfrac{1017.36\times3}{3.14\times12}\\\\\Rightarrow\ r^2 =81\\\\\Rightarrow\ r=9 \ \ \ \text{Taking square root on both sides}[/tex]
Hence, the radius of cone = 9 cm
