Explicación paso a paso:
El volumen de la taza es de:
[tex]vol = area \: de \: la \: base \times altura \\ area \: de \: la \: base = \frac{\pi \times {d}^{2} }{4} = \frac{\pi \times {12}^{2} }{4} = \frac{\pi \times 144}{4} = \pi \times 36[/tex]
[tex]vol = \pi \times 36 \times 7 = 791.681349 \: {cm}^{3}[/tex]
Sabemos que
[tex]1000 \: litros = 1 \: {m}^{3} \\ 1 \: {m}^{3} = {100}^{3} \: {cm}^{3} = 1 \: 000 \: 000 \: {cm}^{3} [/tex]
[tex]791.681349 \: {cm}^{3} \times \frac{1 \: 000 \: {m}^{3} }{1 \: 000 \: 000 \: {cm}^{3} } = 0.79168 \: litros[/tex]
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Verified answer
Explicación paso a paso:
El volumen de la taza es de:
[tex]vol = area \: de \: la \: base \times altura \\ area \: de \: la \: base = \frac{\pi \times {d}^{2} }{4} = \frac{\pi \times {12}^{2} }{4} = \frac{\pi \times 144}{4} = \pi \times 36[/tex]
[tex]vol = \pi \times 36 \times 7 = 791.681349 \: {cm}^{3}[/tex]
Sabemos que
[tex]1000 \: litros = 1 \: {m}^{3} \\ 1 \: {m}^{3} = {100}^{3} \: {cm}^{3} = 1 \: 000 \: 000 \: {cm}^{3} [/tex]
[tex]791.681349 \: {cm}^{3} \times \frac{1 \: 000 \: {m}^{3} }{1 \: 000 \: 000 \: {cm}^{3} } = 0.79168 \: litros[/tex]