A cylindrical can has a volume of 250π cm3 and is 10 cm tall. what is its diameter? [hint: use the volume formula listed on the inside back cover of this book.] cm

Respuesta :

wni
v = Πr²h

250Π = Πr²(10)

r² = 250Π/10Π

r² = 25

r = √25

r = 5

so, d = 2r

d = (2)(5)

d = 10 cm

The diameter of the cylinder will be "10 cm".

Given values are:

  • Volume, V = 250π cm³
  • Height, h = 10 cm

As we know,

The Volume of cylinder,

→ [tex]V = \pi r^2 h[/tex]

By substituting the values, we get

→ [tex]250 \pi = \pi r^2 (10)[/tex]

→     [tex]r^2=\frac{250}{10}[/tex]

→       [tex]r=\sqrt{25}[/tex]

→          [tex]= 5[/tex]

The diameter will be:

→ [tex]d = 2r[/tex]

     [tex]= 2\times 5[/tex]

     [tex]=10 \ cm[/tex]  

Thus the above is the appropriate solution.

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