Answer:
\frac{dh}{dt}_{h=2cm} =\frac{40}{9\pi}\frac{cm}{2}
Explanation:
Hello,
The suitable differential equation for this case is:

As we're looking for the change in height with respect to the time, we need a relationship to achieve such as:

Of course,
.
Now, since the volume of a cone is
and the ratio
or
, the volume becomes:

We proceed to its differentiation:

Then, we compute 

Finally, at h=2:

Best regards.
Silver is Ag from the latin Argentum
Lead is Pb from the latin Plumbum
Answer:
Mass of carbon = 109.1 g
Explanation:
Given data:
Mass of carbondioxide = 400 g
Mass of carbon = ?
Solution:
Molar mass of carbon = 12 g/mol
Molar mass of CO₂ = 44 g/mol
Mass of carbon in 400g of CO₂:
Mass of carbon = 12 g/mol/44 g/mol × 400 g
Mass of carbon = 109.1 g
Answer:
moles Fe₂O₃ = 0.938 mole
Explanation:
Convert given data to moles, solve in terms of moles by reaction ratios in balanced equation. After obtaining answer in moles, convert to needed dimension. In this case, no conversions are needed.
4Fe + 3O₂ => 2Fe₂O₃
105g/56g·mol⁻¹
= 1.875 mol Fe => => => => => => 2/4(1.875 mol Fe₂O₃) = 0.938 mol Fe₂O₃
Answer:
the United States and the Soviet Union.
Explanation:
Basically we were in toe to toe with the russians for space explorations like who's gonna get to space first or moon or do such explorations