oblystonegegick
oblystonegegick oblystonegegick
  • 04-04-2020
  • Mathematics
contestada

What is the volume of the smallest square-based prism that would hold this cylinder?

What is the volume of the smallest squarebased prism that would hold this cylinder class=

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joseaaronlara
joseaaronlara joseaaronlara
  • 04-04-2020

Answer:

The answer to your question is Volume = 80000 cm³

Step-by-step explanation:

Data

height = 50 cm

radius = 20 cm

Process

1.- The smallest dimensions of the prism must have the same dimensions that the cylinder.

Radius = 20 cm then the length of a side = 2 x radius = 40 cm

2.- Calculate the area of the base

     Area = 40 x 40

              = 1600 cm²

3.- Calculate the volume of the prism

    Volume = Area x height

                  = 1600 x 50

                  = 80000 cm²

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