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
mrs_skeptik [129]
4 years ago
10

A spherical balloon is inflated so that its radius increases at a rate of 2 cm/sec. How fast is the volume of the balloon increa

sing when the radius is 3 cm
Mathematics
1 answer:
Nataly [62]4 years ago
7 0

Answer:

72πcm³/s

Step-by-step explanation:

Volume of the spherical balloon V = 4/3πr³

dV/dr = 4πr²

The rate at which the volume of the balloon increasing is expressed as;

dV/dt = dV/dr • dr/dt

dV/dt = 4πr² • (2)

Given

Radius r = 3cm

dV/dt = 4π(3)² • (2)

dV/dt = 36π×2

dV/dt = 72πcm³/s

Hence the rate at which the volume is increasing is 72πcm³/s

You might be interested in
What is 2/8 x 4/5<br> a.6/40<br> b.8/40<br> c.6/13<br> d.8/13
Leya [2.2K]
The answer is B 8/40
5 0
3 years ago
Read 2 more answers
What is the answer ?
mina [271]

Answer:

1)x=15

2)x=38

3)x=7

4)x=10

Step-by-step explanation:

3 0
3 years ago
17) x =<br> (6x-7)<br> (103-x)
Firlakuza [10]

Answer:

6B = F8

Step-by-step explanation:

5 0
3 years ago
Find midpoint of line segment joining j(6 17 and i(9 16)
Serga [27]
Answer: (15/2, 33/2) or (7.5, 16.5)
depending on if you want fractions or decimals

explanation:
equation for midpoint... (avg x, avg y)
x-coordinate: (6+9)/2 = 15/2 = 7.5
y-coordinate: (17+16)/2 = 33/2 = 16.5
4 0
3 years ago
Hi loves is this correct?<br><br> Solve for X.<br><br> X^2 - 2x + 1 = 0<br><br> X= 1?
navik [9.2K]

Answer:

yes x=1

Step-by-step explanation:

xx^{2} -2x+1=0\\(x-1)^{2}=0 x-1=0 \\x=1

4 0
3 years ago
Other questions:
  • 7×10+(1×1/10)+(5×1/1000)
    5·2 answers
  • Solve the differential equation.<br><br> (y^2 + xy^2)y' = 1
    10·1 answer
  • On a trip, Duke encounters some road construction that slows him down. While he is able to go 60 mph on the highway and 40 mph t
    15·1 answer
  • If 8x-4=6x-10, find the value of 3x
    5·2 answers
  • What is the area of this composite figure?
    10·1 answer
  • Math help please<br> Show work if possible
    7·2 answers
  • What did the student do wrong?
    14·1 answer
  • What two numbers multiply to -50 and add up to -23
    15·1 answer
  • PLEASE HELPPPPPP EASY
    13·1 answer
  • A hockey player passes a puck to his teammate by bouncing it off a wall. The angles formed when the puck hits the wall and bounc
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!