Suppose a sphere cylinder and cone all share the same radius and the cylinder and cone also share the same height which is twice the radius which of the following is true about the relationship between the volume formula for the spear cylinder and cone
1=cone = sphere - cylinder
2=24
3=50/3
4=36
5=24
i got answers you want
The volume of a sphere, cylinder, and cone with the same radius can be related as follows:
- The volume of a sphere with radius r is given by: V_sphere = (4/3)πr³.
- The volume of a cylinder with radius r and height h is given by: V_cylinder = πr²h.
- The volume of a cone with radius r and height h is given by: V_cone = (1/3)πr²h.
In this case, since the cylinder and cone have the same height (which is twice the radius), we can simplify the relationship between their volumes:
- V_cylinder = πr²(2r) = 2πr³.
- V_cone = (1/3)πr²(2r) = (2/3)πr³.
Comparing these volumes, we can see that the volume of the cylinder is twice the volume of the cone. Therefore, the following statement is true about the relationship between the volume formulas:
The volume of the cylinder is twice the volume of the cone.