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
Marina CMI [18]
2 years ago
14

the radius r of a sphere is 4cm and is increasing at the rate of 0.5cm . At what rate is the volume?​

Mathematics
1 answer:
Aleks04 [339]2 years ago
7 0

Answer:

32π or 100.53 cm^3  to the nearest hundredth.

Step-by-step explanation:

dr/dt = 0.5

V = (4/3)π r^3

So dV/dr = (4/3)* 3 π r^(3-1)

= 4πr^2

Rate of increase in volume:  

dV/dt = dV/dr * dr/dt

At r = 4:

Rate of increase in Volume

dV/dt = 4π(4)^2 * 0.5

= 64π * 0.5

= 32π.

You might be interested in
amelia needs to buy some cat food at the nearest store 2 bags of cat food is 6.50. How much would it be if amelia bought 3 bags?
tresset_1 [31]

Answer:

$9.75

Step-by-step explanation:

We have all we need to solve for Bag #3.

2 bags equal $6.50.

We want 3 bags, not 4. So we need to divide the original cost by 1/2.

$6.50 divided by 1/2 is $3.25

Now we add an additional $3.25 to the original $6.50

7 0
3 years ago
How to do this. It’s hard
Black_prince [1.1K]
I think the answer is y=10
4 0
3 years ago
Read 2 more answers
Factor the difference of the perfect square. If the binomial will not factor, write prime.
KATRIN_1 [288]
Easy peasy, this is a representation of differnce of 2 perfect squares
a^2-b^2=(a-b)(a+b)
3 0
3 years ago
Read 2 more answers
mr.wilson saved 2,500 to buy airlines tickets he bought airline tickets for $372 each how much savings does mr.wilson after he b
ozzi
2,500 subtracted by 372 equals 2148. 2148 dollars is how much savings he has left.
7 0
3 years ago
Read 2 more answers
Here is a rectangle which has a width of x cm. x cm
miskamm [114]

Answer:

278.25 cm2

Step-by-step explanation:

If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).

In the attached image, we can see the length of each side. Total length of the sides are 90 cm.

=> (x + x + 8) + x + 8 + (x+8) + (x + x + 8) + x + 8 + (x +8) = 90

=> 8x + 48 = 90

=> 8x = 90 - 48 = 42

=> x =42/8 = 5.25 (cm)

=> The width of the rectangle is 5.25cm

=> The length of the rectangle is: 5.25 + 8 = 13.25 cm

=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2

As the 8-sided shape is made from 4 rectangles, so that:

Area of 8 sided shape = 4 x Area of the rectangle = 4 x 69.5625 = 278.25 cm2

6 0
3 years ago
Other questions:
  • Prove the identity cos x/1 - sin x = sec x + tan x
    9·1 answer
  • One positive number is 5 times another number. the difference between the two numbers is 1140, find the numbers.
    9·1 answer
  • The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. W
    15·2 answers
  • The difference of two numbers is nine the larger number is one more than find the larger number
    6·1 answer
  • In five years, Josh will be 21 years old. How old is he now? Let J represent Josh's current age. Which formula would correctly c
    8·1 answer
  • What is the equation of the line that is parallel to the given line and has an X intercept of -3
    9·1 answer
  • 5x(12-4)+3=?<br> PLEASE HELP WILL MARK BRAINLIEST!!!!!
    14·2 answers
  • James is saving 5p and 10p coins. He has 75 coins. The ratio of the 5pto the 10p coins is 1 : 1.5. How much are his coins.
    5·1 answer
  • 5.3g + 8 = 3.3g + 20
    11·1 answer
  • Your two day pass to a theme park is $76.50. this is 31.41 less than your uncle's two day pass. what is the price of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!