Answer: [tex]385cm^{2}[/tex]
Step-by-step explanation:
given data:
AB= 10 cm.
BC = 22 cm.
volume of a cylinder V = [tex]\pi r^{2} h[/tex]
h = 10.
solution
base of the circumference = 22cm
circumference of a circle = [tex]2\pi r[/tex]
r = radius is unknown.
[tex]2\pi r = 22[/tex] .........................eq1
where [tex]\pi = \frac{22}{7}[/tex] insert this into eq1.
[tex]2* \frac{22}{7}* r = 22[/tex]
[tex]\frac{44}{7} r = 22[/tex]
[tex]r = \frac{22}{\frac{44}{7} }[/tex]
[tex]r= 3.5cm[/tex]
next we solve for the volume of the cylinder.
recall [tex]V = \pi r^{2} h[/tex]
h = 10cm
r = 3.5cm
[tex]V = \frac{22}{7} * (3.5)^{2} *10[/tex]
[tex]V = 385cm^{2}[/tex]
