The height of the container is ? centimeters. If its diameter and height were both doubled, the container's capacity would ? be times its original capacity.
container height a.) 6 b.)8 c.)9 d.)10 and containers capacity is a.)2 b.)4 c.)6 d.)8

Question

The height of the container is ? centimeters. If its diameter and height were both doubled, the container's capacity would ? be times its original capacity. 
container height a.) 6 b.)8 c.)9 d.)10 and containers capacity is a.)2 b.)4 c.)6 d.)8

jhonyy9 · Answer

suppose the first diameter was 6 this mean the radius is 3  so the height is 6 too this mean that the volume is 9pi*6 = 54pi units cubed

than the diameter and the height was doubled so this mean that the diameter and the height is 12 so the radius is 6 and the height is 12 
so the volume will be in this case 36pi*12 =432pi units cubed 

432/54=8

so this mean that with diameter and height doubled the container capacity will be 8 time greater than its original capacity

jhonyy9 · Answer

hope this will help you understanding it sure easy