Question

A) 3 cm.
B) √6 cm.
C) 3√6 cm.
D) 6√3 cm.
E) 6 cm.

Answer 1

Resposta:

Explicação passo-a-passo:

V cilindro = Ab × h = $\pi.r².6\sqrt{3}=3,14.(\sqrt{6})².6\sqrt{3}=3,14.6.6\sqrt{3}=113,04\sqrt{3}cm³$

Volume do cone equilátero = $\frac{1}3.\pi.r².2r=\frac{3,14.2.r³}{3}=\frac{6,28.r³}{3}cm³$

Comparando, temos que

$\frac{6,28.r³}{3}=113,04\sqrt{3}=>r³=\frac{3}{6,28}×113,04\sqrt{3}=>r³=54\sqrt{3}=>r=\sqrt[3]{54\sqrt{3}}=3\sqrt[3]{2\sqrt{3}}cm$