A cylindrical container with a radius of 5 cm and a height of 14 cm is completely filled with liquid. Some of the liquid from the cylindrical container is poured into a cone–shaped container with a radius of 6 cm and a height of 20 cm until the cone–shaped container is completely full. How much liquid remains in the cylindrical container? (1 cm3 = 1 ml)

Volume left in the cylinder if all the cone is made full:

Step-by-step explanation:

Given

Radius of cylinder = 5 cm

Height of cylinder = 14 cm

Radius of cone = 6 cm

Height of cone = 20 cm

To find:

Liquid remaining in the cylinder if cone is made full from cylinder's liquid.

Solution:

We need to find the volumes of both the containers and find their difference.

Volume of cylinder is given by:

We have r = 5 cm and

h = 14 cm

Volume of a cone is given by:

Volume left in the cylinder if all the cone is made full:

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

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step-by-step explanation: