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
Marrrta [24]
3 years ago
15

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_

0t 0 ​ t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?
Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

ds/dt=69743.35m^2/min

Step-by-step explanation:

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_0t 0 ​ t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?

If i could understand the question correctly, the typos notwithstanding

r=radius, 555m

dr/dt=rate of change in radius 5m/min

ds/dt=rate of change in surface area   ?

S=area of a sphere 4\pi r^{2}

ds/dt=ds/dr*dr/dt.................................1

ds/dr=differentiation of the area of a sphere=8\pi r

ds/dt=8\pi 555*5

ds/dt=69743.35m^2/min

The surface area of the sphere will change by 69733.35 square meters for every minute.

You might be interested in
Find x, assume that any segment that appears to be tangent is tangent.​
gogolik [260]

Answer:

it's pretty hard right now for ne

6 0
3 years ago
Jack bought a shirt for $14 because it was discounted 30%. what is the regular price?
Andru [333]

All you have to do is 14*.30 which equals to $4.20


8 0
3 years ago
The container that holds the water for the football team is
Ksivusya [100]
1/2 = 3/6
5 gallons of water changed it to 5/6, so that would mean 2/6 would be 5 gallons worth.
5 x 3 = 15.

Hope this helps.
8 0
3 years ago
PLEASE HELP!!!
Scilla [17]
You need the Law of Cosines here and you use it when you have 2 sides and an enclosed angle.  The side across from the angle is the one we are looking for.  The correct way to express the Law using what we have is the last choice above.  Side RT is the unknown, and it is across from the angle that is enclosed between the 2 other sides.
3 0
3 years ago
HELP!?! PLEASE!! Which pair of fractions shows 7/9 and 5/12 correctly converted with their least common denominator?
svlad2 [7]
Least\ common\ denominator:\\\\\frac{7}{9}\ \ \ \frac{5}{12}\ \ we\ need\ to\ find\ number\ which\ can\ be\ divided\ by\ 12\ and\ 9\\\\\frac{7\cdot4}{9\cdot4}\ \ \ \frac{5\cdot3}{12\cdot3}\\\\\frac{28}{36}\ \ \ \frac{15}{36}\\\\Answer\ A.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Perform the indicated operations and chose the correct answer from the listed options.
    13·1 answer
  • How do you find the answer for f(5) when f(x)= -3x^4+7x^2-2
    11·1 answer
  • Mikela earned $65.25 for 9 hours of work. This week see earned $101.50 for 14 hours. Which equation represents the relationship
    6·1 answer
  • Decide whether the equation is a function, not a function, linear but not a function, or a linear function. Choose the best opti
    15·2 answers
  • Find three consecutive even intergers whose sum is 72
    12·1 answer
  • Translate each sentence into an equation. Then find each number.
    7·2 answers
  • What is the measure of each angle in a hexagon if the lengths of all six sides are equal?
    9·2 answers
  • Part II: Find the sine, cosine, and tangent ratios of <y ​
    15·1 answer
  • Can someone pls pls help meee
    9·1 answer
  • I NEED HELP ON PART B PLEASE WILL GIVE BRAINLIEST~!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!