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
Andrew [12]
3 years ago
12

Find the dimensions of a closed right circular cylindrical can of smallest surface area whose volume is 128pi cm^3

Mathematics
1 answer:
Ratling [72]3 years ago
4 0
The surface area of a cylindrical can is equal to the sum of the area of two circles and the body of the cylinder: 2πr2 + 2πrh. volume is equal to π<span>r2h.

V = </span>π<span>r2h = 128 pi
r2h = 128 
h = 128/r2

A = </span><span>2πr2 + 2πrh
</span>A = 2πr2 + 2πr*(<span>128/r2)
</span>A = 2πr2 + 256 <span>π / r
</span><span>
the optimum dimensions is determined by taking the first derivative and equating to zero.

dA = 4 </span>πr - 256 <span>π /r2 = 0
r = 4 cm
h = 8 cm
</span><span>

</span>
You might be interested in
Factor the expression below. Pls help!
amm1812
I think this is right (x-2)(2x+y) 
5 0
3 years ago
Whats 1/5 + -4 having trouble
garri49 [273]
1/5+ (-4) is the same as 1/5 - 4
1/5-20/5
-19/5
4 0
3 years ago
Read 2 more answers
The first angle of a triangle is 4 times the number of degrees in the second angle. The third angle of the triangle is 12 degree
xenn [34]

Answer:

1st angle: 128°

2nd angle: 32°

3rd angle: 20°

Step-by-step explanation:

You can start by setting up an equation. 180=x+4x+x-12. It sould all add up to 180 because angles of a triangle always add up to 180, and x represents the second triangle (you use the second angle as x because the other two angles elaborate off of this second angle).  Then you solve. Add 12 to 180 and get 192. Then you can add like terms and make it 192=6x (you add the x's together). Lastly divide 192 by 6 and get 32. So the measurement of angle 2 is 32°. Then you multiply 32 by 4 to get the 1st angle measure, being 128. Lastly subtract 12 from 32 and get 20 for angle three. To check you work add the three angle measures you got and see if they =180, if so then you are correct.

5 0
3 years ago
a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

5 0
3 years ago
69 + 12 can be rewritten as 3 (_*_)
Paladinen [302]

Take out the factor of 3 from both numbers

(69)/3 = 23

(12)/3 = 4

69 + 12 can be rewritten as 3(23 + 4)

~

8 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the perimeter and area of the following square if a= 19
    14·2 answers
  • If Sonia practices piano for 1/3 of an hour each day,how long will she have practiced in a week
    8·1 answer
  • A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
    6·1 answer
  • What is 2+2-5×6? ill mark brainliest​
    9·2 answers
  • PLEASE HELPPPP WITH MATHH
    12·1 answer
  • Please answer quick, thank you for your time.
    11·2 answers
  • Find the local maximum and minimum values of f(x)=x^3-6x^2+5
    10·1 answer
  • In Denisha's school, 0.826 students participated in a sport. If there are one thousand students in Denisha's school, how many pa
    9·2 answers
  • Which expression is equivalent to twelve eighteenths? (
    15·1 answer
  • How is a perfect square trinomial similar to a perfect square number? Is it possible to have a perfect square binomial? Explain.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!