Question: Given a ratio of 2:3 find the volume of the smaller of the larger cylinder is 252pi ft squared.
The volumes of teh two cylinders is in the ratio of 2:3.
A ratio of 2:3 is the same as a fraction of 2/3.
If teh two volumes are V1 and V2 (whwre V1 is teh smaller volume) then we can write
V1:V2 = 2:3
or, we can write (using fractions)
V1/V2 = 2/3, or
V1 = (2/3)*V2
We are given V2 = 252π ft squared, then
V1 = (2/3)*252π = 168π
Volume of smaller cylinder is 168π ft squared