cellular respiration and photosynthesis work together by taking in energy such as the sun, or Co2 to convert that into energy and oxygen right back into the atmosphere.

Explanation:

6 0

2 years ago

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

harina [27]

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 $= 54\pi$

8 0

2 years ago