The ratio of the volume of the large cylinder to the volume of the small cylinder is 3:1.
We are given height of cylinders and the information that both the cylinders are same. So, the radius of cylinders will be same.
The formula for calculation of volume of cylinder is -
Volume = πr²h, where r is radius and h is height.
Ratio of the volume of the large cylinder to the volume of the small cylinder= πr²h(large):πr²h(small)
Ratio = πr²75:πr²25
Cancelling πr² from both numerator and denominator as it is common in both
Performing division by 25 to find the ratio
Ratio = 3:1
Hence, the ratio of the volume of the large cylinder to the volume of the small cylinder is 3:1.
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