Question

Um cone possui raio da base medindo 6 cm e altura igual a 10 cm. Determine a altura de um líquido que ocupa nesse cone o volume de 100 cm³.

Answer 1

$\largeA ~altura ~do~ cone ~ \acute{e} ~aproximadamente ~ \Rightarrow ~ h \approx 2,65 ~cm$

$V = \dfrac{1}{3} ~\pi~. ~r^2~. ~h\\\\\\100 = \dfrac{1}{3} ~3,14~. ~6^2~. ~h\\\\\\100 = \dfrac{1}{3} ~3,14~. ~36~. ~h\\\\\\100 = \dfrac{1}{3} ~113,04 ~. ~h\\\\\\100 = \dfrac{113,04}{3} ~. ~h\\\\\\100 =37,68 ~. ~h\\\\\\37,68 ~. ~h = 100\\\\\\h = \dfrac{100}{37,68} \\\\\\h \approx 2,65 ~cm$

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