Question

Determine o volume de um cone cuja a altura , 8cm e a geratriz 10cm . (Pi=3,14)

Answer 1

r²+h²=g²=> r²=g²-h²=100-64=36=>r=6cm

v= π. r².h/3= 3,14. 6².8/3 = 301,44 cm³ ✓

Answer 2

Para descobrir o raio do cone:

${10}^{2} = {8}^{2} + {r}^{2} \\ 100 = 64 + {r}^{2} \\ 100 - 64 = {r}^{2} \\ 36 = {r}^{2} \\ {r}^{2} = 36 \\ r = \sqrt{36} \\ r = 6cm$

Agora, aplicamos a fórmula do volume do cone:

$V = \frac{1}{3} \times \pi \times {r}^{2} \times h \\ V = \frac{1}{3} \times 3.14 \times {6}^{2} \times 8 \\ V = \frac{3.14 \times 36 \times 8}{3} = 3.14 \times 12 \times 8 \\ \boxed{V = 301.44c {m}^{3}}$