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
inn [45]
3 years ago
6

if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which

the diameter increases when the diameter is 15cm
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

You might be interested in
Hi can someone check my answers please
algol13
The top one should be 14x - 2.  Otherwise, everything else looks correct.
6 0
3 years ago
It took Sophia 1 hour to finish her homework how many minutes did it take her how many seconds did it take her
joja [24]
It took Sophie 60 minutes.3,600 seconds
4 0
3 years ago
Read 2 more answers
What is the slope of this chart?
Anastasy [175]
This was what I got

5 0
3 years ago
Read 2 more answers
What is the property of 5(11z + 6z + 29) ?
alexira [117]


Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through

5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
<span>85z+145</span>
8 0
4 years ago
Read 2 more answers
julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will
tigry1 [53]

Answer:

The final cost for him is;

\text{ \$154.44}

Explanation:

Given that the ipod costs $220;

C=\text{ \$220}

The store gives a 35% discount, which means he will only pay 65% of the original cost;

100\text{\%- 35\% = 65\%}

The store price is;

\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}

Also he will need to pay additional 8% sales tax on the discounted price P;

\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}

The final cost he need to pay is the sum of the discounted price and the sales tax;

\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}

Therefore, the final cost for him is;

\text{ \$154.44}

5 0
2 years ago
Other questions:
  • Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther? Select from the drop-down
    6·1 answer
  • What is equivalent fraction to 2/5
    15·2 answers
  • What is the LCM of 8,15,10
    13·1 answer
  • An appropriate metric unit for the mass of an eyelash.
    11·1 answer
  • What is 55 plus 35 in distributive property
    5·1 answer
  • Nolan wrote 1.63 as a fraction in simplest
    15·1 answer
  • A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2100 seats. The students
    15·1 answer
  • There are 325 7th graders in 12 classes . determine the unit rate
    13·1 answer
  • Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of t
    5·1 answer
  • Someone tell me the slope
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!