Answer: The radius of the cone is 3 inches.
Step-by-step explanation:
Volume of cone = [tex]\dfrac{1}{3}\pi r^2 h[/tex] , where r= radius and h= height
As per given , we have
The volume of a cone is 141.3 cubic inches.
The height of the cone is 15 inches., i.e. h= 15 inches
Substitute all values in formula , we get
[tex]141.3=\dfrac{1}{3}(3.14) r^2(15)\\\\\Rightarrow\ r^2=\dfrac{141.3\times3}{3.14\times15}\\\\\Rightarrow\ r^2=9\Rightarrow\ r=\sqrt{9}=3[/tex]
Hence, the radius of the cone is 3 inches.
