iiamme iiamme
  • 02-05-2021
  • Mathematics
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Find the variable in the figure. The diagram is not to scale.
Volume=16π

Find the variable in the figure The diagram is not to scale Volume16π class=

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Аноним Аноним
  • 02-05-2021

r = 2

The volume of a cone can be found using the following equation

[tex]V = r^2\frac{h}{3} \pi[/tex]

After putting in the information that we already know we get

[tex]16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\[/tex]

For proof's sake, we can try the equation again with the information we know

[tex]V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi[/tex]

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