Mathematics for IGCSE & O level - Similarity (Section 1 - No. 32)
Two cones are similar. The ratio of their radii is 2:5. If the volume of the smaller cone is 16π cm³, what is the volume of the larger cone?
40π cm³
100π cm³
200π cm³
250π cm³
설명
The length scale factor is 5/2, so the volume scale factor is (5/2)³=125/8. The volume of the larger cone is 16π * 125/8 = 250π cm³.