The relationships of the volumes of cylinders, cones, and spheres (considering that the height and radius are the same for all of the objects) are stated below. Fill in the blank with the correct number. (5 points)
A. One sphere +_____ cone(s) = one cylinder
B._______ cone(s) = one cylinder
C. ______cone(s) = one sphere
D. One sphere = ______cylinder
E. One cone = ______cylinder
Answers you can choose from:
question A answers to choose from 1,2,3,1/3
question B answers to choose from 1,2,3,2/3
question C answers to choose from 1,2,3,1/3
question D answers to choose from 1,2,3,2/3
question E answers to choose from 1,2,3,1/3
A. One sphere + 3 cone(s) = one cylinder
B. 3 cone(s) = one cylinder
C. 1/3 cone(s) = one sphere
D. One sphere = 2/3 cylinder
E. One cone = 1/3 cylinder
To solve for the radius of the sphere using the formula:V=4/3 πr^3 1st step: Multiply both sides by 3 2nd step: Divide both sides by 4 3rd step: Divide both sides by π 4th step: Divide both sides by 3 (1 point) Responses True; this process would solve for the radius given the volume using the correct inverse operations. True; this process would solve for the radius given the volume using the correct inverse operations. False; steps 1 - 3 are correct, but step 4 does not give the inverse operation of r^3
False; steps 1 - 3 are correct, but step 4 does not give the inverse operation of r^3.
If the diameter of a small red beach ball is 8 inches, then the cone with the same radius and a height of 8 inches would fit into the beach ball _______ times and the volume of the cone would be about . ________ in^3.
Answers to choose from:
89
2/3
1/3
134
3
2
536
268
1