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nadya68 [22]
1 year ago
12

find the rate of change of a cylinder whnen its radius is 6 feet if its height is always 3/2 times its radius and its increasing

a the rate of 2 feet per minute
Mathematics
1 answer:
cluponka [151]1 year ago
6 0

<u>324π ft³/ min</u><u>  the </u><u>rate </u><u>of change of a cylinder.</u>

<u />

What is the volume of the cylinder?

  • The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it.
  • Cylinder's volume is given by the formula, πr2h, where r is the radius of the circular base and h is the height of the cylinder.
  • Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.

Find  dV/dt

h = 3r/2

Volume of cylinder V = πr²h

  v = πr²(3r/2)

   v = 3/2 πr³

   differentiate both side

\frac{dv}{dt} = 3 . \frac{3}{2} \pi r^{2}  dr/dt

\frac{dv}{dt} = 3 . \frac{3}{2} \pi 6^{2} (2)  = 324π ft³/ min

Learn more about volume of a cylinder

brainly.com/question/16134180

#SPJ4

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4 0
2 years ago
Evaluate the following equation: integral from 3 to infinity: 1/(x-2)^(3/2) dx
Bond [772]

The formula in solving the integral of the infinity of 3 is  ∫3<span>∞?</span>(1<span>)÷((</span>x−2<span><span>)<span><span>(3/</span><span>2)</span></span></span>)</span><span>dx</span>

Substitute the numbers given then solve

limn→inf∫3n(1/((n−2)(3/2))dn

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Solve for the integral of 2 when 2 is approximate to 0. Transpose 2 from the other side to make it -2

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<span> </span>

8 0
3 years ago
A = 1/2(a+b)h <br> h=? <br> h= ? times ? / ?+?
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H means multiplication
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3 years ago
Annabelle and Navene are multiplying (4275)(4372). Annabelle's Work Navene's Work (4275)(4372) = 42 + 375 + 2 = 4577 (4275)(4372
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Neither are correct.

Navene has broken the problem up and simply added numbers together to get "4577"

Annabelle is also wrong because whereas she multiplied, she also broke up the numbers in the equation to get "46710"

The answer should be 18,690,300

7 1
3 years ago
Read 3 more answers
What is the diameter of this circle?​
ozzi

Answer:

diameter=18 in

radius=9 in

area=254.47 in

circumference=56.55 in

Step-by-step explanation:

<u>Key</u>

C=Circumference

D=Diameter

R=Radius

A=Area

π=pi=3.14159265359

<u>Formulas</u>

2r=d

d/2=r

πr^2=a

(2πr)=c

Brainliest Plz

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