Respuesta :

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

[tex]v = 1.54 \: l[/tex]

[tex]v = 1540 \: {cm}^{3} [/tex]

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

Let πr² be 77,

Let v be 1540,

[tex]1540 = 77 \times h[/tex]

[tex]77h = 1540[/tex]

[tex]h = 1540 \div 77[/tex]

[tex]h = 20 \: cm[/tex]