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)
<em>Answer:</em>
<em>It is the uppermost layer of the three layers of the skin. Summarily, the epithelium is a more general concept, and epidermis is the one type of epithelium, which is a more limited word indicating exterior part of the skin.</em>
<em />
<em>Explanation:</em>
<em>*Hope this helps*</em>
<em />
Answer:
I got this off of g o o g l e
Explanation:
I put pairs of small fence posts (one on each side) down the row. I then tied twine to the fence post and ran it on either side of the plants. This keeps them from falling over to the side. If you plant thick enough they won't fall to the front or back.
Cells build carbohydrate polymers by using energy to form glycosidic linkages, the bonds between monosaccharides. A dehydration synthesis reaction forms a bond between carbon atoms in two monosaccharides, sandwiching an oxygen atom between them and releasing a water molecule. Hope this helps!
Answer:
RNA
Explanation:
Transcription is the second stage of central dogma of life (1. replication, 2. <u>transcription</u>, 3. translation).
During transcription, DNA (which is already replicated) is transcribed to RNA. This is because, the genetic information is present within nucleus and thus it is required to be transported outside the nucleus in order to perform key enzymatic functions. Therefore, transcription takes place and the genetic information travels outside in the form of RNA, where ribosomes decode this message to form proteins. The ribosomes make proteins (translation) required for enzymatic functions.