if u pour all the liquid in a cone into a cylinder with the same height and radius then you will fill half of the cylinder with liquid

Respuesta :

Answer:

No, the liquid will not fill half of the cylinder

Step-by-step explanation:

The volume of a cylinder is 3 times bigger than a cone with equal radius and height

To know this we have to compare the volumes of both solids first.

Let us assume the height and radius of the cone and radius are

6 and 2 mm respectively

so that the volume of a cone is given as

Volume of cone= 1/3 πr^2h

and the volume of cylinder is given as

Volume of cylinder= πr^2h  

1. Volume of cone= 1/3 πr^2h

Volume of cone= 1/3 *3.142*(2)^2(6)

Volume of cone= 75.408/3

2.  Volume of cylinder= πr^2h

Volume of cone= 3.142*(2)^2(6)

Volume of cone= 75.408

From the analysis the volume of a cylinder is three times bigger the volume of a cone with similar radius and height