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Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
Surface area decreases at a rate of 9 cm2/min
This means that
At which the diameter decreases when the diameter is 10 cm?
This is when
. So
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Answer:
The same ratio indicates that there is a proportional relationship between y and x.
Step-by-step explanation:
We know when y varies directly with x, the equation is
y ∝ x
Here,
k is the constant of proportionality.
The ratio y/x indicates that k is a constant of proportionality.
Thus, the same ratio indicates that there is a proportional relationship between y and x.
When x increases, y increases, and when y decreases, x also decreases.