Question

Match the correct statement with the given information.(4 points)
1) A cone's radius increases x 3 --->

2) A cone's height increases x 3 --->

3) A sphere's radius increases x 3 --->

4) A cylinder's radius increases x 6 --->

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Answer 1

Assuming we are comparing volumes (Vcone = (1/3)πr^2h, Vsphere = (4/3)πr^3, Vcyl = πr^2h):

1) Cone's radius ×3 → volume ×9 (r^2 factor)
2) Cone's height ×3 → volume ×3 (h factor)
3) Sphere's radius ×3 → volume ×27 (r^3 factor)
4) Cylinder's radius ×6 → volume ×36 (r^2 factor)