Answer:
1375 cubic units.
Step-by-step explanation:
Let , and be radius, height and volume of our large cylinder respectively. Let , and be radius, height and volume of our small cylinder respectively.
We have been given that both our given cylinders in graph are similar, therefore, the ratios between their radius, height and volume will be same.
We can also represent this relation as:
Since corresponding sides of similar figures are always in the same proportion, so the proportion between volume of our cylinders also will be same.
Upon cancelling out pi from numerator and denominator we will get,
Upon using the relation in volume proportion we will get,
Upon substituting our given values in this proportion we will get,
Therefore, the volume of large cylinder will be 1375 cubic units.