contestada

A cylinder has a volume of 900 cu cm and a base with a diameter of 14 cm. Find the height of the cylinder to two decimal places. A) 17.54 cm B) 1.46 cm C) 5.85 cm D) 20.46 cm E) 40.93 cm

Respuesta :

Answer:

The height of the cylinder is 5.85 cm.

Step-by-step explanation:

Given that,

Volume of cylinder, [tex]V=900\ cm^3[/tex]

Diameter of the base of cylinder, d = 14 cm

Radius, r = 7 cm

We need to find the height of the cylinder. The volume of cylinder is given by :

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

h is height of cylinder

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

[tex]h=\dfrac{900}{\dfrac{22}{7}\times (7)^2}\\\\h=5.85\ cm[/tex]

So, the height of the cylinder is 5.85 cm.

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