1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
evablogger [386]
3 years ago
7

What is the surface area of a cylinder with base radius 3 and height 6?

Mathematics
2 answers:
Nikolay [14]3 years ago
6 0

Answer:

I think the answer is 169.65

mars1129 [50]3 years ago
3 0

Answer:54 pi

Step-by-step explanation:

You might be interested in
Find the value of K. The diagram is not to scale. Explain your answer.
ladessa [460]

Answer:

639 lo hago para conseguir puntos ;V

Step-by-step explanation:

5 0
3 years ago
Is quadrilateral UVWX a parallelogram? Why or why not?
Neko [114]

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

4 0
3 years ago
Which number line shows the solution to the inequality -2x-3> -11
Brut [27]

Answer:

-4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve by Factoring<br><br> 3b^4−6b^2+27b
Ganezh [65]

Answer:

Step-by-step explanation:

hello :

3b^4−6b^2+27b = 3b(b^3-2b+9)

8 0
2 years ago
A pond forms as water collects in a conical depression of radius a and depth h. Suppose that water flows in at a constant rate k
Scrat [10]

Answer:

a. dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. πa² ≥ k/∝

Step-by-step explanation:

a.

The rate of volume of water in the pond is calculated by

The rate of water entering - The rate of water leaving the pond.

Given

k = Rate of Water flows in

The surface of the pond and that's where evaporation occurs.

The area of a circle is πr² with ∝ as the coefficient of evaporation.

Rate of volume of water in pond with time = k - ∝πr²

dV/dt = k - ∝πr² ----- equation 1

The volume of the conical pond is calculated by πr²L/3

Where L = height of the cone

L = hr/a where h is the height of water in the pond

So, V = πr²(hr/a)/3

V = πr³h/3a ------ Make r the subject of formula

3aV = πr³h

r³ = 3aV/πh

r = ∛(3aV/πh)

Substitute ∛(3aV/πh) for r in equation 1

dV/dt = k - ∝π(∛(3aV/πh))²

dV/dt = k - ∝π((3aV/πh)^⅓)²

dV/dt = K - ∝π(3aV/πh)^⅔

dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. Equilibrium depth of water

The equilibrium depth of water is when the differential equation is 0

i.e. dV/dt = K - ∝π(3a/πh)^⅔V^⅔ = 0

k - ∝π(3a/πh)^⅔V^⅔ = 0

∝π(3a/πh)^⅔V^⅔ = k ------ make V the subject of formula

V^⅔ = k/∝π(3a/πh)^⅔ -------- find the 3/2th root of both sides

V^(⅔ * 3/2) = k^3/2 / [∝π(3a/πh)^⅔]^3/2

V = (k^3/2)/[(∝π.π^-⅔(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝π^⅓(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝^3/2.π^½.(3a/h))]

V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. Condition that must be satisfied

If we continue adding water to the pond after the rate of water flow becomes 0, the pond will overflow.

i.e. dV/dt = k - ∝πr² but r = a and the rate is now ≤ 0.

So, we have

k - ∝πa² ≤ 0 ---- subtract k from both w

- ∝πa² ≤ -k divide both sides by - ∝

πa² ≥ k/∝

5 0
3 years ago
Other questions:
  • A theater sells adult tickets for $8.00 and children's tickets for $5.50. Sally bought some of each kind (not the same number) a
    10·2 answers
  • 6x-2x-9=7 solve for X there both the same sumber
    5·1 answer
  • A boy spends one sixth of his pocket money on ice cream, two sevenths on chocolates and five twelfths on football stickers. What
    14·1 answer
  • Jeremy spent $33 on 3 CDs. At This rate. how much would 6 CDs cost ?​
    6·2 answers
  • A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman cla
    9·1 answer
  • 34 is 0.2% of what number!!​
    8·1 answer
  • What is 30% of 180 show work
    6·1 answer
  • X is inversely proportional to the square root of y
    11·1 answer
  • Select the correct comparison.
    9·1 answer
  • How do I do this question?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!