Respuesta :

Answer:

[tex]volume \: = 1130.4 {m}^{3} [/tex]

Step-by-step explanation:

The formula to find the volume of a cylinder is:

[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]

Note that the radius is half the diameter (12), therefore the radius is 6*

According to the diagram we know that:

[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]