Answer:
12cm
Step-by-step explanation:
The scoop of Ice Cream is in the shape of a circular solid which is a Sphere.
For the ice cream to fit into the cone, the volume of the cone must be equal to that of the sphere.
Radius of the Sphere=3cm
Volume of a Sphere = [tex]\frac{4}{3}\pi r^3[/tex]
Volume of a Cone=[tex]\frac{1}{3}\pi r^2h[/tex]
[tex]\frac{1}{3}\pi X 3^2h=\frac{4}{3}\pi X 3^3\\\frac{1}{3}h=\frac{4}{3} X 3\\\frac{1}{3}h=4\\h=4 X 3=12cm[/tex]
The Cone of same radius must be 12cm tall.
