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
What expression represents the product of 3 less than twice x and 2 more than the quantity 3 times x?
Georgia [21]
"3 less than twice 'x' " . . . . that's (2x - 3)

" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)

Their product is
                               (2x - 3) (3x + 2) .

If you want to expand it to a single expression, perform the multiplication,
and you have
                            6x² - 5x - 6  .
8 0
3 years ago
Fill in the blanks below.
Crank
The slope for the first one would be:
y2-y1/x2-x1, so replace those with the coordinates and you'll get:
-3-1/-7-(-7) => -4/0 so I guess the slope is zero

the slope for the second one would be:
-3-(-3)/5-(-4)=> 0/9 I think this one would be undefined.
Check to make sure, though!
4 0
3 years ago
Read 2 more answers
The area of a triangle is the product of the base of the triangle times the height of the triangle, divided by two.
trasher [3.6K]

Answer:

Step-by-step explanation:

Almost correct.  I'd write this statement as follows:

"The area of a triangle is the product of the base and height of the triangle, divided by two."

or...

"The area of a triangle is half the product of the base and height."

3 0
3 years ago
614 divided by 15??????????
horrorfan [7]

Answer:

122.8 brainliest plzzz

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for x using the correct order of operations
aev [14]

Answer:

Step-by-step explanation:

Use PEMDAS.

P=Parenthesis

E=Exponents

M=Multiplaction

D=Division

A=Addition

S=Subtraction.

Multiplication and Division can be done interchangeably, Work left to right.

Same with addiion and subtraction.

8 0
3 years ago
Other questions:
  • Solve for h. Then check your solution.<br><br> 2h + 6= 3h -19
    5·1 answer
  • How are triangles different in spherical geometry as opposed to euclidean geometry?
    10·1 answer
  • Solve the following for x. 3(x-2)-6x=4(x-5)
    12·2 answers
  • 2. Rewrite the following linear function in slope-intercept form: 0 = 10x+ 5y-20
    9·1 answer
  • carley bought a jacket that was discounted 10% off the original price. The expression below represents the discounted price in d
    13·1 answer
  • 4. What is the slope of the line in the<br> figure below?
    9·1 answer
  • the scatter plot shows a relationship Which best describes of the data in the scatter plot? A ) linear with a negative correlati
    10·2 answers
  • HELP ME WITH THIS PLS IM FAILING REALLY BAD ITS PYTHAGOREAN THEOREM
    7·2 answers
  • Write and expression to find the perimeter of the rectangle. (5 points)
    8·1 answer
  • Determine if the sequence below is arithmetic or geometric and determine the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!