christarc7628 christarc7628
  • 21-02-2020
  • Mathematics
contestada

a cylinder has radius 1.6 meters. it’s volume is 95 cubic meters. what’s the height to the nearest tenth of a meter?

Respuesta :

iwillanswer iwillanswer
  • 27-02-2020

The height of cylinder is 11.8 meters

Solution:

The volume of cylinder is given as:

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

Where,

r is the radius and h is the height of cylinder

From given,

V = 95 cubic meters

r = 1.6 meters

h = ?

Substituting the values we get,

[tex]95 = 3.14 \times 1.6^2 \times h\\\\95 = 8.0384 \times h\\\\h = \frac{95}{8.0384}\\\\h = 11.818 \approx 11.8[/tex]

Thus height of cylinder is 11.8 meters

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