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BlackZzzverrR [31]
3 years ago
9

Calcula el radio de un cilindro que tiene 8 cm de altura y un volumen de 122 cm cúbicos

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer:

\huge{ \boxed{ \sf{2.20 \: cm}}}

Step-by-step explanation:

\star{ \sf{ \:  altura  \: de \:  un \:  cilindro\:  =  \: 8 \: cm}}

\star{ \sf{ \: volumen  \: de  \: un  \: cilindro = 122  \: cm \:  cúbicos}} \:

\star {  \sf{ \: encontrar :radio   \: de  \: un  \:  cilindro }}

\boxed{ \sf{ \: Volume \: of \: a \: cylinder \:  =  \:  {\pi \: radius}^{2}  \: height}}

\mapsto{ \sf{122 \:  =  \: ( \frac{22}{7} )r \: ^{2}  \:  \times  \: 8}}

\mapsto{ \sf{122 = 25.14 \:  {r}^{2} }}

\mapsto{ \sf{25.14 \:  {r}^{2} = 122 }}

\mapsto{ \sf{ \frac{25.14 \:  {r}^{2} }{25.14}  =  \frac{122}{25.14}}}

\mapsto{ \sf{ {r}^{2} = 4.85 \: cm}}

\mapsto{ \sf{r = 2.20 \: cm}}

radio de un cilindro = 2.20 cm

\sf{espero  \: haber \:  ayudado!}

\sf{atentamente \:}!

~\sf{TheAnimeGirl}

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