14 x 10^3 = 14,000 (the elephants weight)
So the cat weighs 14 pounds
Answer: 15 boxes
Step-by-step explanation:
From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.
The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:
= 21.75/1.5
= 14.5
= 15 boxes approximately
Answer:
c.) 36cm
Step-by-step explanation:
:))
Answer:
The rate of change of the volume of the cylinder at that instant = ![791.28\ mm^3/hr](https://tex.z-dn.net/?f=791.28%5C%20mm%5E3%2Fhr)
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let
represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
![\frac{dr}{dt}=7\ mm/hr](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D7%5C%20mm%2Fhr)
Volume of cylinder is given by:
![V=\pi\ r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%5C%20r%5E2h)
Finding derivative of the Volume with respect to time.
![\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cpi%5C%20h%5C%202r%5Cfrac%7Bdr%7D%7Bdt%7D%20)
Plugging in the values given:
![\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cpi%5C%20%281.5%29%5C%202%2812%29%287%29%20)
![\frac{dV}{dt}=252\pi](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D252%5Cpi%20)
Using ![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
![\frac{dV}{dt}=252(3.14)](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D252%283.14%29%20)
(Answer)
Thus rate of change of the volume of the cylinder at that instant = ![791.28\ mm^3/hr](https://tex.z-dn.net/?f=791.28%5C%20mm%5E3%2Fhr)