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slavikrds [6]
3 years ago
15

Are they simular and why​

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

YES

Step-by-step explanation:

because there the same shape but the right one is moved to the side a little bit

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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo
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When an spherical balloon volume is increasing at the rate of 3ft^3/min then the diameter of the balloon is increasing \frac{3}{2\pi }ft /min

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is v=\frac{4}{3} \pi r^3

In form of diameter we can write as

v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3

Now we will differentiate both sides wrt to t we get

\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft

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thus when we substitute the values we get

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Learn more about the differentiation here:

brainly.com/question/28046488

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