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
-BARSIC- [3]
3 years ago
12

A cup has the shape of a right circular cone. The height of the cup is 12 cm, and the radius of the opening is 3 cm. Water is po

ured into the cup at a constant rate of 32 cm /sec. What is the rate at which the water level is rising when the depth of water in the cup is 5cm?
Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

  about 6.52 cm/s

Step-by-step explanation:

The radius of the cone is 3/12 = 1/4 of its height, so the radius of the water surface at the time of interest is (5 cm)/4 = 1.25 cm.

The area of the water's surface is ...

  A = πr² = π(5/4 cm)² = 25π/16 cm²

The rate of change of depth multiplied by this area will give the rate of change of volume.

  dV/dt = (25π/16 cm²)(dh/dt)

  dh/dt = (32 cm³/s)/(25π/16 cm²) = 512/(25π) cm/s ≈ 6.52 cm/s

The water is rising at the rate of about 6.52 cm/s.

You might be interested in
can someone help me to solve the first problem only please I will mark you the brainly helpful answers pls!
swat32

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

3 0
3 years ago
Tshshjnmdmsmmjnnnnbbbbbbnnnxnxjmkskkmfkdkd
JulsSmile [24]

Answer:

correct.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Differentiate between a fixed and movable pulley.<br>​
Tamiku [17]

Answer:

Step-by-step explanation:

A fixed pulley consists of a wheel fixed to a shaft and is used in conjunction with a belt to transfer energy to another fixed pulley. A movable pulley consists of a shell, a movable wheel and a rope. Movable pulleys are also know as block and tackle.

8 0
2 years ago
2x^3 + 3x^2 -11x -6 divided by x - 2
Gnesinka [82]

p(x)= x-2

g(x)= 2x^3 + 3x^2 - 11x - 6

first we have to find the zero of the polynomial of x-2

p(x)= x-2 = 0

         x=2

therefore,

p(x)= 2x^3 + 3x^2 - 11x - 6

p(2)= 2*2^3 + 3*2^2 - 11*2 - 6

      = 2*8 + 3*4 - 11*2 - 6

      = 16 + 12 - 22 - 6

      = 28-28

     = 0

Hope it helped u, ^_^.

3 0
3 years ago
Citing drastic differences between her school and the white school across the
ella [17]

Answer:

the pay one

Step-by-step explanation:

i thinks sorry if i get it wrong

4 0
3 years ago
Read 2 more answers
Other questions:
  • The population of United States is about 3×10(to the power of 8). The population of Kazakhstan is about 1.5×10(to the power of 7
    10·1 answer
  • Solve for x <br> 3x+4 = (2/5)x +2
    10·2 answers
  • The equation of a line is x + 4y = 15.<br> What is the y-intercept of the line?
    7·2 answers
  • Can you write an equivalent fraction for 5/9 and 1/10 using the least common denominator?<br>​
    5·1 answer
  • HELP me fill in the correct things in the guest a check list.
    15·1 answer
  • Find all numbers whose absolute value is -6.
    6·1 answer
  • Name two linear expression whose difference is 5x-4
    10·2 answers
  • CAN SOMEONE PLEASE HELP ME PLEASE
    7·1 answer
  • The sum of the square of a positive number and the square of 4 more than the number is 80
    10·1 answer
  • g. a second stage smog device has been installed on 50 different industry firms in los angeles. an inspector plans to visit 10 r
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!