Question

how many cylindrical glasses 6cmin diameter and 10cm deep can be filled from cylindrical jug 10cm in diameter and 18cm deep​

Answer 1

Explanation:

So we need to divide the volume of the cylindrical glasses by the cylindrical jugs to see how many we can fill.

The equation to find the volume of a cylinder is Height*Area of Circle

To find the area of a circle is:
`\pi r^(2)`

In this senario "r" (radius) is 3 (d/2)

Volume for cylindrical glass:

hx
`\pi r^(2)`

= 10x 3.14x 3^2

= 10x3.14x 9

= 282.6
`cm^(3)`

Now for the cylindrical jug: r= 5 and h=18

hx
`\pi r^(2)`

= 18x3.14x5^2

= 18x3.14x25

= 1413
`cm^(3)`

Now finally we divide them:

1413/282.6

= 5

So they can fill 5 cylindrical glasses :)