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A rectangular tray has length 60 cm, width 40 cm and depth 2 cm.
It is full of water.
The water is poured into an empty cylinder of diameter 8 cm.
Calculate the depth, in cm, of water in the cylinder.
Give your answer correct to 3 significant figures.

Respuesta :

dunganriley7

Answer:

Step-by-step explanation:

V tray = 60 x 40 x 2 cm ³ = 4800 cm ³

4800 = π r ² h

4800 = 16 π h

h = 4800 / ( 16 π ) cm

h = 95.5 cm is depth of water.

The depth of water in the cylinder is 95.54 cm.

What is Volume of cuboid?

The volume of the cuboid is the measure of the space occupied within a cuboid.

V = L * B * H (unit^3)

where  L = Length

           B = Breadth

           H = Height

What is the volume of cylinder?

The volume of the cuboid is the measure of the space occupied within a cylinder.

V = π.(r)^2.h (unit^3)

where R = radius

           H = height

V(cuboid) = L * B * H

V(cuboid) = 60 * 40 * 2 cm^3

V(cuboid) = 4800 cm^3 (quantity of water)

This complete volume of water is poured into a cylindrical glass:

V(cylinder) = π.(r)^2.h

V(cylinder) = π (4)^2.h

V(cylinder) = 16Ï€h

Now V(cuboid) = V(cylinder)

        4800 = 16πh

          h = 4800/ (16 * 3.14)

          h = 95.54cm

The depth of water in the cylinder is 95.54 cm

Learn more about volume on:

https://brainly.com/question/898827

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