Question

A measuring cylinder of radius 3cm contains water to a height of 49cm. if this water is poured into a similar cylinder of radius 7cm, what will be the height of the water column​

Answer 1

Hey there! I'm happy to help!

Hey there! I'm happy to help!

First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.

3²=9

9×3.14=28.26

Now we multiply by our height of 49 cm to see how much water there is.

28.26×49=1384.74

Now, let's find the area of the circle of the 7 cm cylinder.

7²=49

49×3.14=153.86

Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.

1384.74÷153.86=9

So, the height of our water column will be 9 cm.

Have a wonderful day and keep on learning! :D