The volume of a glass in the shape of a cylinder whose height is 3 times the radius is $81 π m^{3}$ .The height of the cylinder is:

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Solution

The correct option is A
9m

$π r^{2} h = 81 π$

$\Rightarrow h = 3 r$

$\Rightarrow r = \frac{h}{3}$

$\frac{π h^{3}}{9} = 81 π$

Therefore, $h = 9 m$ .

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The volume of a glass in the shape of a cylinder whose height is 3 times the radius is 81π m3.The height of the cylinder is:

The correct option is A 9m πr2h=81π ⇒h=3r ⇒r=h3 πh39=81π Therefore, h=9 m.

The volume of a glass in the shape of a cylinder whose height is 3 times the radius is $81 π m^{3}$ .The height of the cylinder is:

The correct option is A
9m

$π r^{2} h = 81 π$

$\Rightarrow h = 3 r$

$\Rightarrow r = \frac{h}{3}$

$\frac{π h^{3}}{9} = 81 π$

Therefore, $h = 9 m$ .