Question

*100 PONTOS*

Calcule a área lateral, área total e volume do cilindro na imagem.​

Answer 1

• Volume

$v = \pi {r}^{2} \times h$

$v = 3,14 \times {3}^{2} \times 8$

$v = 3,14 \times 9 \times 8$

$\boxed{v = 226,08 \: {cm}^{3} }$

• Área lateral

$al = 2\pi \times h$

$al = 2(3,14) \times 8$

$al = 6,28 \times 8$

$\boxed{al = 50,24 \: {cm}^{2} }$

• Área total

$at = 2(\pi {r}^{2} ) + al$

$at = 2(3,14 \times {3}^{2} ) + 50,24$

$at = 2(3,14 \times 9) + 50,24$

$at = 2(28,26) + 50.24$

$at = 56,24 + 50,2$

$\boxed{at = 106,75 \: {cm}^{2} }$

Espero ter ajudado!

Answer 2

$v = \pi.r {}^{2} .h$

$v = 3.14 \times 3 {}^{2} \times 8 \\ v = 3.14 \times 9 \times 8$

$v = 226.08cm {}^{3}$

$al = 2\pi \times h$

$area \: lateral = 2 \times 3.14 \times 8$

$al = 50.24cm {}^{2}$

$area \: \: total = 2\pi.r {}^{2} + al$

.

$at = 2 \times 3.14 \times 3 {}^{2} + 50.24$

$at = 6.28 \times 9 + 50.24$

$at = 56.24 + 50.24 = 106.48cm {}^{2}$