# 9.2.3. Direct Variation and Inverse Variation

The height of a right circular cylinder varies inversely with the square of its radius . If cm when cm, determine when cm.

Show SolutionIf , and when , find the value of when .

Show SolutionIf and when , find the value of when .

Show SolutionIf the relation between the velocity and the time is , find the value of when m/s.

- A 65 seconds
- B62.43seconds
- C62.72seconds
- D64.68seconds

Given that the relation between the velocity and the time is , find the value of when seconds.

- Am/s
- Bm/s
- Cm/s
- Dm/s

If are in continued proportion, find .

Show SolutionFind the third proportional of 8 and .

Show SolutionDetermine the number which when added to each of 2, 12, and 24, they will be in continued proportion.

Show SolutionIf , find .

Show SolutionIf the positive mean proportional between 4 and is 22, find .

Show SolutionIf 2 is the middle proportional between and , find the middle proportional between and .

- A
- B4.2
- C
- D6.2

If and when , find when .

Show SolutionGiven that the multiplicative inverse of , and when , determine when .

Show SolutionGiven that , and when , determine the value of when .

Show SolutionIf , where varies inversely with , and when , find when .

Show SolutionGiven that , , and when , determine when .

Show Solution, where is a constant and varies directly with . Given that when , and when , determine when .

Show SolutionIf , where is constant, varies directly with , when , and when , find the relation between and .

- A
- B
- C
- D

Considering the type of variation between and shown in the table below, find when .

2 | 4 | 70 | |

70 | 35 | 2 |

- A
- B420
- C
- D

Which of the following represents the relation between and ?

44 | 55 | 99 | 110 | |

60 | 75 | 135 | 150 |

- Asquare of multiplicative inverse
- Bdoes not represent direct variation or inverse variation
- Cinverse variation
- Ddirect variation

The relation which represents a direct variation between the two variables and is .

- A
- B
- C
- D

If varies inversely with given that when , determine the constant of proportionality.

Show SolutionThe speed of water spraying from the end of a garden hose varies inversely with the square of the hose nuzzle radius. If cm/s when cm, find when cm.

Show SolutionThe weight of a body varies inversely with the square of its distance from the center of the earth. The radius of the earth is km. If a satellite of weight kg wt on the earth's surface, how much does it weigh when it is orbiting km above the earth’s surface?

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