### Instruction: An ice cream cone has radius 1 inch and height 4 inches, What is the number of inches in the radius of a sphere of ice cream which has the same volume as the cone?### Response: To find the radius of the sphere, I need to know its volume.
The volume of a sphere is given by the formula V = (4/3)pi*r^3, where r is the radius.
The volume of a cone is given by the formula V = (1/3)pi*r^2*h, where r is the radius of the base and h is the height.
Since the sphere and the cone have the same volume, I can equate their formulas and solve for r.
(4/3)pi*r^3 = (1/3)pi*1^2*4
Simplifying, I get 4r^3 = 4.
Dividing by 4, I get r^3 = 1.
Taking the cube root of both sides, I get r = 1.
Therefore, the radius of the sphere is 1 inch.