Question 203267
Lateral surface area = (circumference of the base)*height = {{{(2*pi*r)h = (2*pi*3)10 = (6pi)10 = 60pi}}} square centimeters.
The area of one bases - {{{pi*r^2 = pi*3^2 = pi*9 = 9pi}}} square centimeters.
The area of both bases = 2*(Area of one base), since they are congruent circles: 2(9pi) = 18pi}}} square centimeters.
Total surface area of a cylinder = Area of the bases + Lateral surface area = {{{18pi + 60pi = 78pi}}} square centimeters.
Volume of a cylinder = (area of the base)*height = {{{(9pi)*10 = 90pi}}} cubic centimeters.