Answer:
Therefore,the level of paint is rising when the bucket starts to overflow at a rate cm per minute.
Step-by-step explanation:
Given that, at a rate 4 cm³ per minute,a cylinder bucket is being filled with paint
It means the change of volume of paint in the cylinder is 4 cm³ per minutes.
i.e cm³ per minutes.
The radius of the cylinder is 20 cm which is constant with respect to time.
But the level of paint is rising with respect to time.
Let the level of paint be h at a time t.
The volume of the paint at a time t is
Differentiating with respect to t
Now putting the value of
To find the rate of the level of paint is rising when the bucket starts to overflow i.e at the instant h= 70 cm.
Therefore, the level of paint is rising when the bucket starts to overflow at a rate cm per minute.
Answer:
Answer b: Sales of trench coats increased 8.3 percentage points faster than total coat sales.
Step-by-step explanation:
First add all the sales for 2006, and do the same for the 2007 sales, so we can compare both total sales numbers:
For 2006 we have:
103+297+210+213+137 = 960 total sales
For 2007 we have:
127+223+210+285+259 = 1104 total sales
The percent increase is calculated as the difference between the final value minus the original value, divided by the original value and multiplied by 100:
For the total number of coats we have that the percent increase is: %
For the trench coats (which went from 103 sales tp 127 sales) we have the following percent increase: %
Therefore, the percent increase in trench coats was larger than the percent increase in total sales by:
23.3 % - 15% = 8.3%
Answer:
The volume = 5 276.66928645188 cm³
Step-by-step explanation:
let V be the volume of the given sphere.
V = (4/3)×π×r³ ,where r is the radius of the sphere
r = 21.6÷2 = 10.8 cm
Then
V = (4÷3)×π×(10.8)³
= 5 276.66928645188 cm³
The answer makes the sentence true is 8,960
So draw a cross! One line segment is KL and the other Mn