The volume of a cube with positive side length is numerically equal to the surface area of a cube (though they will have different units). What is the volume of the cube?
The surface area of a sphere of radius 1 is equal to the surface area of a cylinder with a circular base of radius 1. What is the height of the cylinder?
The volume of a sphere is numerically equal to the surface area of the sphere. If this value is equal to , what is the value of ?
Brilli the ant is playing with a ball of radius , which is a positive integer. Given that the surface area and volume of the ball are and , where and are 4-digit integers, what is ?
Details and assumptions
The number is a 2-digit number, not a 3-digit number.
If the surface area of a sphere is numerically equal to the volume of the sphere, what is the radius?