Find the surface area and the volume of the cylinder.
Solution:-
For the surface area of the cylinder, remember that it can be unrolled to form a rectangle and two circles.
Find the area of each circle (base).
A = π r2
= 3.14 * 32
= 28.26 cm2
The area of the rectangle can also be determined, since its height is the height of cylinder, and its base length is the circumference of the circle that forms a base.
Find the area of the rectangle.
2πh = 2*3.14*3.7
=131.88 cm2
Find the total surface area.
2*28.26 + 131.88 = 188.4 cm2
Notice that the base of a cylinder is a circle with area π r2.
Thus the volume of the cylinder is π r2h.
Find the volume of the cylinder.
V = π r2h
=3.14*32*7
=197.82 cm3