4(3A - 4) = 56
first distribute 4
12A - 16 = 56
then add 16
12A = 72
finally, divide by 12
A = 6
By definition, the volume of a cylinder is given by:
Where,
r: cylinder radius
h: cylinder height
Therefore, the total capacity of the container is:
Rewriting we have:
Then, the amount of total dust is given by:

Where,
V: volume of the container
Substituting values:

Rewriting:
Answer:
The total capacity of the container in terms of π is:
The volume of the powder in terms of π is:

Consecutive integers mean one after the other and their difference would one more or less.
Let the numbers be x, x +1, x +2.
Therefore x + (x+1) + (x +2) = 567
3x + 3 = 567
3x = 567 -3 = 564
3x = 564 Divide by 3.
x = 564/3
x = 188
Therefore integers x, x +1, x +2 = 188, 188+1, 188+2.
= 188, 189, 190.
Cheers.
Given:
The point
divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get


On comparing both sides, we get


Multiply both sides by 4.




It can be written as


Therefore, the point P divides the line segment AB in 1:5.