Question

Um cone de volume 500 PICM³ e diâmetro 10CM, qual sua altura?

Answer 1

$\largeA~altura ~do ~cone ~ \Rightarrow ~h = 60 ~cm$

Usar a fórmula do volume:

$V = \dfrac{1}{3} ~\pi~. ~r^2~. ~h\\\\\\500\pi = \dfrac{1}{3} ~\pi~. ~5^2~. ~h\\\\\\500\pi = \dfrac{1}{3} ~\pi~. ~25~. ~h\\\\\\500\pi = \dfrac{25}{3} ~\pi~ . ~h\\\\\\\dfrac{25}{3} ~\pi~ . ~h = 500\pi \\\\\\25 ~\pi~ . ~h = 500\pi ~. ~3\\\\\\h = \dfrac{1500\pi }{25\pi } \\\\\\h = 60 ~cm$

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