3 years ago

Beta cells in the pancreas and human skin cells

Biology

1 answer:

Kazeer [188]3 years ago

8 0

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A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks out, it forms a conical pile.

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Answer:

Rate of change of volume of the pile $= 54\pi$

Explanation:

Given -

Rate of increase of the base of the pile $= 0.75$ inches per minute

Height of the pile $= 2 *$ the radius of the base

Let "h" be the height of the pile and "r" be the radius of the base.

Then $h = 2* r$

Radius "r" $= 6$ inches

Rate of change of radius i.e

$\frac{dr}{dt} = 0.75$

Volume of conical pile

$\frac{\pi }{3} * r^2 * h\\= \frac{\pi }{3} * r^2 * 2 * r\\= \frac{\pi }{3} *2* r^3$

Change in volume of conical pile

$\frac{dV}{dt} = \frac{dr}{dt} * \frac{6* \pi * r^2 }{3}$

Substituting the value of rate of change of radius, we get -

$\frac{dV}{dt} = 2 * \pi * (6^2) * (0.75)\\\frac{dV}{dt} = 54 \pi$

Rate of change of volume of the pile $= 54\pi$

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The chemical substance in adult male pig's urine, which can also be found in other mammals, is called Puberty Accelerating Pheromone. It is also found in boar's saliva, and was said to be responsible in inducing early puberty in young female piglets.

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Sounds like infectious would fit.

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