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
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are parallel. Explain,
Oksana_A [137]
Answer:
d

Step-by-step explanation:

Slope intercept form: y = mx + b

y = -x + 7
x + y = 21

x + y = 21
-x -x
y = -x + 21


y = -x + 7
y = -x + 21

Parallel lines have the same slope. Here, our slope is -1

Therefore, our final answer is d.


Hope this helps!
8 0
2 years ago
Mei is making fruit punch.
sp2606 [1]

Answer:

16.2p (If lemonade is .75p, if not substitute in the equation below)

Step-by-step explanation:

In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.

I am assuming 75p is meant to be .75p

So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05

We need 16 so: 4.05 x 4 = 16.2

6 0
2 years ago
If your not in 5th or higher grade don't answer my question
scoundrel [369]

Answer:

ok loll

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The cost of 25 pounds of bird seed is $44.50. What is the cost for one pound of bird seed
Nimfa-mama [501]
Answer=1.78 Explanation:44.50÷25=1.78
7 0
2 years ago
Solve over the set of real numbers for the equation below x-2=√2x-1
Anon25 [30]

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

x – 2 = √(2x – 1)

Square on both side, then we have

               (x – 2)² = 2x – 1

         x² – 4x + 4 = 2x – 1

         x² – 6x + 5 = 0

   x² – 5x – x + 5 = 0

x(x – 5) – 1(x – 5) = 0

       (x – 5)(x – 1) = 0

                         x = 1, 5

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ1

6 0
2 years ago
Other questions:
  • Candy selling at $6.00 per pound will be mixed with candy selling at $9.00 per pound. How many pounds of the more expensive cand
    14·1 answer
  • If 8 cakes cost £4,then how much do 3 cakes cost?
    10·2 answers
  • Val’s go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart
    12·2 answers
  • What is 26% of 150?.?.?
    8·2 answers
  • Please help answer both questions
    8·2 answers
  • $24 shirt; 6% tax what is the answer please
    15·2 answers
  • 12 points
    8·1 answer
  • 1. What is the product of the solutions to the equation 5z' – 32z- 21 = 0?
    13·1 answer
  • How many degrees did it change each minute?<br> pls i need help I'm confused.
    7·2 answers
  • PLEASE ANSWER THIS FOR REAL. THIS A TEST. PLEASE NEED HELP ANSWER ASAP 11. The bowling scores made yesterday during a middle sch
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!