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
lesya [120]
3 years ago
7

The radius of a sphere is increasing at a rate of 3 mm/s. how fast is the volume of the sphere increasing when the diameter is 1

0 mm?
Mathematics
1 answer:
vredina [299]3 years ago
5 0

We will find the rate of change of volume with respect to the change of radius.


Volume, V(r) = (4/3) π r^3


Find rate of change of volume with respect to change of radius by differentiation


V'(r)=dV/dr = d[(4/3) π r^3]/dr = (4/3) π d[r^3]/dr =(4/3) π 3r^2


Therefore when diameter=10mm, r=5mm


V'(r)=V'(5)=(4/3) π (3(5^2))=(4/3) π 75 = 100 π mm^3/mm

You might be interested in
At the movie theatre, child admission is $6.00 and adult admission is $9.90 . On Saturday, 155 tickets were sold for a total sal
Leviafan [203]
57 children tickets were sold on Saturday.

You could set this up as a system of equations.
x + y = 155
6.00x + 9.90y = 1312.20

First step is multiplying the first equation by -6 to use the elimination method.

-6.00x + -6.00y = -930
6.00x + 9.90y = 1312.20

The positive and negative 6x cancel out until you are only left with the y.

Combining them would make your equation...
3.9y = 382.2

Next you would divide by 3.9 on both sides to get the y by itself.

The result of that would be y = 98. Which means 98 adult tickets were sold. Then you would plug y into either of the equations to solve for x.
5 0
3 years ago
Which of the following is not approximately equivalent to one of the metric units: 1 kilometer, 1 meter, 1 kilogram, or 1 liter?
Nikitich [7]
A.
Note that 1 mile = 1.609 km.
Therefore
0.6 miles = 0.6*1.609 km = 1 km (approximately).

b.
Note that 1 US quart = 0.9463 liters.
Therefore
1 quart = 1 liter (approximately).

c.
Note that 1 pound = 0.4536 kg
Therefore 1 pound is not even approximately equal to one kilogram.

d.
Note that 1 yard = 0.9144 m.
Therefore
1 yard = 1 m (approximately).

Answer:
1 pound is not approximately equivalent to one of the metric units.

5 0
3 years ago
Jeff bought 10 cookies and ate 4 of them. He ate
zmey [24]

he ate 40 percent of the cookies

8 0
3 years ago
Read 2 more answers
Simplify (x*3 +3x*2+6) - (9x*2-5x+7)
zloy xaker [14]
\left[x \right] = \left[ \frac{-1}{4}\right][x]=[​4​​−1​​] = x*3 +3x*2+6) - (9x*2-5x+7
6 0
3 years ago
Read 2 more answers
Which situation could the expression 1/4 ÷ 3 represent?
adoni [48]

Answer:

see the procedure

Step-by-step explanation:

The situation could be

Alice needs to divide 1/4 pound of meat into three equal parts. What is the weight of each part?

so

Divide 1/4 by 3

\frac{(1/4)}{3}=\frac{1}{12}\ pounds

The weight of each part is \frac{1}{12}\ pounds

8 0
3 years ago
Other questions:
  • 50 is 40%of what number
    8·1 answer
  • Use the equation m = y + 3 to find the value of m when y = 3.
    8·2 answers
  • There were 54 students in the school choir for a concert the music teacher arranged the students in six rows with the same numbe
    14·1 answer
  • Of the 50 states, 2/5 of the states starts with M A or N. How can you use equivalent fractions to find out how many states this
    13·2 answers
  • Three consecutive integers have a sum of 234 what are the three integers
    5·1 answer
  • Please help!! Only answer if you know the answer. Thank you.
    12·2 answers
  • Describe how the graph of each function is related to the graph of its parent function.
    12·1 answer
  • Find quotient and remainder b)diving 2x^3- 5x² +x+2
    14·1 answer
  • Please, someone, help very hard
    5·1 answer
  • Can some one help me with this please :)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!