Answer:
[tex]Diameter=2*r= 2*10=20 cm[/tex]
Step-by-step explanation:
Volume of the cylinder= [tex]2512cm^3[/tex]
Height(h) of the cylinder=8 cm
Diameter= 2*radius
Radius(r)=?
Volume of a cylinder= [tex]\pi *r^2*h[/tex]
As, [tex]\pi =\frac{22}{7} =3.14[/tex]
Putting the values in the formula:
[tex]2512=3.14*r^2*8\\\\2512=25.12*r^2[/tex]
Dividing by '25.12' both side:
[tex]r^2=2512/25.12\\\\r^2=100\\\\r=10[/tex]
[tex]Diameter=2*r= 2*10=20 cm[/tex]
