Answer:
r = ∛(3V/4π)
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
We want to solve this first for r³ and then for r.
Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions: 3V = 4πr³.
Dividing both sides of this equation by 4π isolates r³:
3V
r³ = -------
4π
To find r, take the cube root of both sides of
3V
r³ = -------
4π
obtaining r = ∛(3V/4π)
Answer:
16j+5k
Associative property
Communitive Property (I think)
Step-by-step explanation:
(10j+5k)+6j =
(10j+6j)+5k =
16j+5k
Answer:
The answer is 4 liters.
Step-by-step explanation:
We want a final 25% solution, which means that the solvent should constitute 25 percent of all the liters of solution.
Let us call the litres of 40% solution, so when they are added to the 12 litres of 20% solution, the total litres of the new solution are:
of these liters, 25% must be the solvent:
Now for the 40% solution, the liters of the solvent are , and for the 20% liter solution, the liters of solve are liters. Thus the total liters of the solvent are
Therefore
Answer:
8=3(2)-3
Step-by-step explanation:
change y to 8 and x to 2
Answer:
5 small containers will be required and used.
This water is used to fill four and half small containers exactly.
4.5 small containers
Step-by-step explanation:
The rectangular container has dimensions 12*12*45 cm and the small container has dimensions 6*5*8 cm
The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm
The volume of the water in the rectangular container with a square base is
12*12*7.5= 1080 cm³
The volume of the water in the smaller container is
6*5*8= 240 cm³
Number of smaller containers required = Volume of large container / Volume of smaller container
Number of smaller containers required =1080 cm³/240 cm³= 4.5
This water is used to fill four and half small containers exactly.