Question

two cylinder cans have equal base areas . If one of the can is 15cm high and other is 20cm high , find the ratio of their volumes.

Answer 1

Volume of Cylinder of height 15cm = 22/7 ×r×15


Volume of cylinder of height 20cm= 22/7×r×20


Ratio of their volume = 15/20
Ratio = 3:4



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Answer 2

Answer:

The ratio of the volumes of two cans is 3 : 4

Step-by-step explanation:

Given that the base areas of both the cans is equal

Height of can 1 = 15cm

Height of can 2 = 20cm

We need to find the ratio of their volume

We know that for a cylinder, V = πr²h

where V = Volume of the cylinder

           r = Radius of the cylinder

           h = Height of the cylinder

As the cans are cylindrical, their base will form a circle.

We know that area of a circle(A) = πr²

Therefore, the formula of volume can be written as V = Ah

Ratio of Volumes of two cans = $\frac{Volume Of1}{Volume of 2}$

                                          = $\frac{A_{1}h_{1}}{A_{2}h_{2}}$  

                                          = $\frac{A*15}{A*20}$      (  base areas of both the cans is equal)

                                          = $\frac{15}{20}$

                                          = $\frac{3}{4}$

Therefore, the ratio of the volumes of two cans is 3 : 4