Answer:
Rate of change of volume of the pile ![= 54\pi](https://tex.z-dn.net/?f=%3D%2054%5Cpi)
Explanation:
Given -
Rate of increase of the base of the pile
inches per minute
Height of the pile
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](https://tex.z-dn.net/?f=h%20%3D%202%2A%20r)
Radius "r"
inches
Rate of change of radius i.e
![\frac{dr}{dt} = 0.75](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%200.75)
Volume of conical pile
![\frac{\pi }{3} * r^2 * h\\= \frac{\pi }{3} * r^2 * 2 * r\\= \frac{\pi }{3} *2* r^3](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B3%7D%20%2A%20r%5E2%20%2A%20h%5C%5C%3D%20%5Cfrac%7B%5Cpi%20%7D%7B3%7D%20%2A%20r%5E2%20%2A%202%20%2A%20r%5C%5C%3D%20%5Cfrac%7B%5Cpi%20%7D%7B3%7D%20%2A2%2A%20r%5E3)
Change in volume of conical pile
![\frac{dV}{dt} = \frac{dr}{dt} * \frac{6* \pi * r^2 }{3}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%20%2A%20%5Cfrac%7B6%2A%20%5Cpi%20%2A%20r%5E2%20%7D%7B3%7D)
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](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%20%3D%202%20%2A%20%5Cpi%20%2A%20%286%5E2%29%20%2A%20%280.75%29%5C%5C%5Cfrac%7BdV%7D%7Bdt%7D%20%20%3D%2054%20%5Cpi)
Rate of change of volume of the pile ![= 54\pi](https://tex.z-dn.net/?f=%3D%2054%5Cpi)
Answer:
I think this is the ans
Explanation:
cold environment as biodiversity means one particular ecosystem or habitat so in a cold environment only cold breeze flows.
Answer:
Sedimentary rocks
Explanation: Where are fossils found? Fossils are found almost exclusively in sedimentary rocks—rocks that form when sand, silt, mud, and organic material settle out of water or air to form layers that are then compacted into rock. So the answer will be <em>Sedimentary</em> rocks.
The step that is part in the
formation of the batholiths is a single pluton enlarges into a huge mass by melting
the rock around it. A single pluton does not enlarge into a huge mass, instead,
it will melt due to the buoyant magma that surrounds it.
Answer: Snails have soft bodies and are protected by shells, which are the characteristics of gastropods mollusks.