Page 25 - How To Solve Word Problems In Calculus
P. 25
Circumference of Area of a circle A = πr 2
a circle C = 2πr
Lateral surface area Volume of
2
of a cylinder S = 2πrh a cylinder V = πr h
The total surface area (including the two circular ends) of
2
a cylinder is 2πrh + 2πr .
r
h
2
V =πr h
S = 2πrh + 2πr 2
Cones and spheres are commonly used in word problems.
Their volume and surface areas will become familiar with use.
4
Volume of a sphere V = πr 3
3
Surface area of a sphere S = 4πr 2
π 2
Volume of a cone V = r h
3
r
r
h
π
V = 4 πr 3 V = r h
2
3 3
S = 4πr 2
12
