Respuesta :

Answer:

635.2 cm^3.

Step-by-step explanation:

Volume of the cylinder = π r^2 h

= 3.14 * 4^2 * 5 = 251.2

Volume of the prism = 4 *8 * 12

= 384

Total volume = 384 + 251.2

Volume of the cylinder:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 3.14 \times {4}^{2} \times 5[/tex]

[tex]v = 251.2 \: {cm}^{3} [/tex]

Volume of the rectangular prism:

[tex]v = lwh[/tex]

[tex]v = 12 \times 8 \times 4[/tex]

[tex]v = 384 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 251.2 + 384[/tex]

[tex]v = 635.2 \: {cm}^{3} [/tex]

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