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  • 25-05-2021
  • Mathematics
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A cylindrical vase has a volume of 216 cubic inches the diameter of the vase is 5 inches

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  • 27-05-2021

Answer: 11 in.

Step-by-step explanation:

Given

The volume of the cylindrical vase is [tex]216\ in^3[/tex]

Inside diameter is [tex]d=5\ in.[/tex]

[tex](\text{radius is given by }r=\dfrac{d}{2})[/tex]

Suppose, h is the height of the vase

Volume is given by

[tex]V=\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow 216=\pi \times 2.5^2\times h\\\\\Rightarrow h=\dfrac{216}{6.25\times 3.142}\\\\\Rightarrow h=10.999\approx 11\ in.[/tex]

Thus, the height of the vase is [tex]11\ in.[/tex]

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