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
LekaFEV [45]
3 years ago
14

A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. find the height and radius of the cup that will use the

smallest amount of paper. (round your answers to two decimal places.)
Mathematics
1 answer:
alekssr [168]3 years ago
6 0
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
You might be interested in
(PLEASE ANSWER 50 POINTS)Write an equation of a line slope-intercept form with the given slope and y-intercept. Slope:3, y-inter
Levart [38]
Y=3x+2

the slope (mx) is 3
the y-intercept (b) is 2.

the equation form is y=mx+b
8 0
2 years ago
If f(x) = -4x^2 - 6x - 1 and g(x) = -x^2 - 5x + 3, find (f + g)(x).
Flauer [41]

Answer:

-5x^{2}-11x+2

Step-by-step explanation:

-4x^{2} \\-6x-1-x^{2}-5x+3=-5x^{2}-11x+2

7 0
3 years ago
What is the value of x<br> (2x+6)=32
OLEGan [10]

Answer:

the value of x is 13 because 2 times 13 equals 26 and 26 plus 6 equals 32.

7 0
3 years ago
Read 2 more answers
Describe how to find the least common multiple of three numbers
notka56 [123]
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only. 
Notice that 6 and 8 have a common factor 2, so pick up the 2;
 6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15

this is basically how it is done. I believe you can explain better in your own words. 

3 0
3 years ago
I will mark brainliest
BARSIC [14]

Answer:

Your answer would be D, the last one

6 0
2 years ago
Read 2 more answers
Other questions:
  • 23. Business: Mixing Nuts A nut store normally sells cashews
    13·1 answer
  • Aiutami con la mia matematica
    5·1 answer
  • Simplify. (2x^2 + 7x + 10) - (x^2 + 2x - 9)
    9·1 answer
  • Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are
    12·1 answer
  • Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length
    14·1 answer
  • Helppppppppppppppppppppp
    5·1 answer
  • Is this table a function or not a function?
    5·2 answers
  • On a piece of paper, use a protractor and a ruler to construct triangle ABCABC with ABAB = 3 in., ACAC = 3 in., and m∠Am∠A = 90°
    10·1 answer
  • Please Solve this. Last Question of the Day So Points Increase a little bit. :)
    5·2 answers
  • The table shows the cost of a large pizza with additional toppings on it. Which equation, in palnt-slope form, represents the re
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!