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
Flauer [41]
3 years ago
11

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.8 in/s. At

what rate is the volume of the cone changing when the radius is 138 in. and the height is 143 in.?
Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

34191.7πin³/sec

Step-by-step explanation:

Volume of circular come = 1/3pi x r² x h

When we differentiate this formula we have

dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]

We have the following information

r = 138

H = 143 inch

dr/dt = 1.4

dh/dt = -2.8

When we plug into the formula

1/3π[130² x -2.8 + 2x138x143x1.4]

= 34191.7πin³/sec

You might be interested in
Find the area and the circumference of a circle with radius 6 m.
Ratling [72]

Answer:

(a) 113.04m²

(b) 37.68m

Step-by-step explanation:

(a)

Area = πr²

=π(6)²

=36π

=113.04m²

(b)

Circumference = 2πr

2π(6) = 12π

=37.68m

6 0
3 years ago
Read 2 more answers
Your test scores in one class are 82 and 88 . What possible scores can you earn on your next test to have a test average between
Amanda [17]

Answer:

85

Step-by-step explanation:

cause the pribabilty ranges on the reciprocal of 90 within..

3 0
3 years ago
The diagonals of a rectangle ABCD meet at O if AO=(2x+3)cm and DO=(5x)cm find the length of its diagonals also find the perimete
vfiekz [6]

Step-by-step explanation:

AO = DO

2x+3 = 5x

3 = 5x-2x

3 = 3x

x = 1

DO = 5(1)=5cm

AC = 2×5 = 10cm

BC =√10²-8²

= √100-64

=√36

=6 cm

therefore, the perimeter of the rectangle

= 2×(8+6) = 2(14) = 28 cm

3 0
3 years ago
Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0
3 years ago
Two of the angles in a triangle measure 41° and 61° What is the measure of the third angle?
professor190 [17]

Answer:

78 degrees

Step-by-step explanation:

All inner angles of a triangle make a sum of 180 degrees. Given 41 and 61 add up to 102, that leaves 78 degrees left to make 180

5 0
3 years ago
Other questions:
  • Three dentists wanted to compare the ages of their patients. They each calculated their patients’ mean age and the mean absolute
    14·2 answers
  • Distributive property
    11·1 answer
  • I will be given brainliest!! 2(x + 2) + 8 = 6 Solve this equation and show all work.
    6·2 answers
  • How do you do this math problem
    15·1 answer
  • Hayley and alex are counting their pocket money. hayley has three times as much money as alex. together they have £20 in total.
    8·1 answer
  • In 2010 polls indicated that 75% of Americans favored mandatory testing of students in public schools as a way to rate the schoo
    11·1 answer
  • How do I write a compound inequality?
    6·1 answer
  • Quiz question!! i need help fast !
    7·1 answer
  • The following pentagon, ABCDE is rotated about the origin 90 counterclockwise. Select the new coordinates of C and E after the
    6·1 answer
  • Write 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!