gaytansarina
gaytansarina gaytansarina
  • 30-07-2020
  • Mathematics
contestada

A cone with a height of 50 meters has a volume of 5400π meters cubed. What is the radius of the cone?

Respuesta :

devishri1977
devishri1977 devishri1977
  • 09-08-2020

Answer:

r = 18m

Step-by-step explanation:

h = 50 m

Volume of cone = 5400π m³

[tex]\frac{1}{3}\pi r^{2}h=5400\pi \\\\\\\frac{1}{3}\pi r^{2}*50=5400\pi \\\\\\r^{2}=\frac{5400* \pi *3 }{\pi * 50}\\\\\\r^{2}=108*3\\\\r^{2} = 324\\\\\\r=\sqrt{324}\\\\\\[/tex]

r = 18 m

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