Equations-Related Rates

Question 1

Surface area of a sphere

Answer 1

Sa= (4) (Pi) (r^2)

Question 2

Volume of a cone

Answer 2

V= (1/3) (Pi) (r^2) (h)

Question 3

Volume of a cylinder

Answer 3

V= (Pi) (r^2) (h)

Question 4

Surface area of a cylinder

Answer 4

Sa=2(Pi)(r^2) + 2(Pi)(r)(h)

Question 5

Similar triangles

Answer 5

X1/x2 = y1/y2

Set up a ratio

Question 6

Area of a circle

Answer 6

A= (Pi) (r^2)

Question 7

Circumference of a circle

Answer 7

C= (2) (Pi) (r)

Question 8

Volume of a trough (triangular cross section)

Answer 8

V= (area of base) (length)

= (wh/2) (l)

Question 9

Surface area of a box

Answer 9

Sa= front+back+left side+ right side+ bottom+ (top) –> unless it’s a topless box

Question 10

Volume of a box

Answer 10

V=lwh

Question 11

Distance equation for points on a graph

Answer 11

D= [(x2-x1)^2 + (y2-y1)^2]^1/2

Question 12

Volume of sphere

Answer 12

V=(4/3) (Pi) (r^3)