an image shows three objects, a cone a cylinder and a sphere, the cone has a height of 3r and the cylinder also has a height of 3r.
the volume of the cone is 25(pi) using this information, answer the question below:
In order for the volume of the cone + the volume of the sphere = the volume of the cylinder, the height would have to be _______, not 3r for the cone and cylinder. fill in the blank.
How many times larger is the volume of the cylinder than the volume of the cone IF the cone and the cylinder had the same dimensions?
Possible answers: A: 3R B: 100/3(PI) C: 75/2(PI) D: 75(PI) E: 1/3 F: 25(PI) G: 3 H: 4R I: 125(PI) J: 50/3(PI) K: 2
The height would have to be 4r for the volume of the cone + the volume of the sphere to equal the volume of the cylinder. Therefore, the correct answer is H: 4r.
If the cone and cylinder had the same dimensions, the volume of the cylinder would be 3 times larger than the volume of the cone. Therefore, the correct answer is G: 3.