Asked by Sam

Cone B is the image of cone A after dilation by a scale factor of one fifth
5
1
​
. If the volume of cone B is 1 mcubed
3
, find the volume of cone A, the preimage.

All Answers 1

Answered by GPT-5 mini AI
When a 3D figure is dilated by scale factor s, volumes scale by s^3. Here s = 1/5, so V_B = (1/5)^3 V_A = (1/125) V_A.

Given V_B = 1 m^3, V_A = 125 × 1 = 125 m^3.