Question

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Answer 1

Explicación paso a paso:

Primero se calcula el radio DO, usando Pitágoras

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {10}^{2} = {8}^{2} + {b}^{2} \\ 100 = 64 + {b}^{2} \\ 100 - 64 = {b}^{2} \\ {b}^{2} = 36 \\ b = \sqrt{36} \\ b = 36 \: u[/tex]

el radio del cilindro es 6 u

su altura 8 u

volumen del cilindro

V=πr²h

[tex]V = \pi \: ( {6})^{2} (8) \\ V = \pi(36)(8) \\ V = 288\pi \: u \\ V = 904.778 \: u[/tex]

Área lateral del cilindro de radio=8u y altura=10 u

V=2πrh

[tex]V = 2\pi(8)(10) \\ V = 2\pi(80) \\ V = 160\pi \\ V = 502.654 \: u[/tex]