Question

A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 cubed of liquid. The liquid is poured into a different cylinder that has a radius of 333 cm. What will the height of the liquid be in the new cylinder?

Answer 1

Given as :

The cylinder is filled with 36π  cubic cm

The liquid is poured in new cylinder

The radius of new cylinder = r = 3 cm

To Find :

The height of new cylinder

Solution :

Let the height of new cylinder = h cm

∵ A cylinder is filled with liquid

So, Volume of liquid = Volume of cylinder

∵  The liquid of cylinder is poured into new cylinder

∴  Volume of new cylinder = volume of liquid =  36π  cubic cm           ............1

Again

∵ Volume of cylinder = π × radius² × height

                                    = π × r² × h

                                    = 3.14 × ( 3 cm )² × h

Or, 3.14 × ( 3 cm )² × h =  36π                                   ( from 1 )

Or, 3.14 × ( 3 cm )² × h =  36 × 3.14

Or,   ( 3 cm )² × h =  36 cm³                      ( 3.14 cancel out both side )

Or,   9 cm²  × h =  36 cm³  

∴                    h = $\dfrac{36}{9}$

i.e    height = h = 4 cm

Hence, The height of new cylinder is 4 cm  Answer

Answer 2

Answer:

The height of the liquid in the new cylinder will be 444 cm .

Step-by-step explanation: