Respuesta :

Answer:

cylinder 1 has a radius of 8 cm

cylinder 2 has a radius of 2.5 cm

Step-by-step explanation:

cylinder 1:

we know... h = 10cm   [tex]\pi[/tex] = 3.14   and 2009.6 [tex]cm^{3}[/tex]

plug these values into the volume formula: 2009.6 = (3.14) (r^2) (10)

multiply 10 and 3.14: 2009.6 = (31.4) r^2

divide both sides by 31.4: 64 = r^2

put both sides under a root square: 8 = r

cylinder 2:

we know... h = 10cm   [tex]\pi[/tex] = 3.14   and  196.25 [tex]cm^{3}[/tex]

plug these values into the volume formula: 196.25 = (3.14) (r^2) (10)

multiply 10 and 3.14: 196.25 = (31.4) r^2

divide both sides by 31.4: 6.25 = r^2

put both sides under a root square: 2.5 = r