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
disa [49]
3 years ago
12

The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W

hat will the volume, V, of the balloon be at t = 3 seconds?
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

V=36 \pi cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

Putting r = 3, we get:

V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi

The volume would be 36π

You might be interested in
The vertex of this parabola is at (-2, -3). When the x-value is -1, the
valina [46]

Answer:

-2

Step-by-step explanation:

Start with the vertex form of the equation of a parabola:  y - k = a(x - h)^2

Here h = -2, k = -3, x = -1, y = -5.  Find a:

-5 - [-3] = a(-1 - [-2])^2, or

-5 + 3 = a(1)^2, or

-2 = a

The unknown coefficient is -2.

7 0
3 years ago
Which story problem could be solved using the division problem 30 ÷ 5 = 6?
Lynna [10]

Answer:

"There are 30 chairs in 5 rows. How many chairs are in each row?" Would be the correct story problem.

8 0
3 years ago
Convert 0.5kg to ounces
Marysya12 [62]

Answer:

17.6369809748oz

Step-by-step explanation:

hope this helps

6 0
3 years ago
Read 2 more answers
75bdivided by 230 need this answer to
hammer [34]

Answer:

                                   0.32608696

Step-by-step explanation:

5 0
3 years ago
If function F is defined by f(x) = 3x^2 + 5, what is f(x-4)
shepuryov [24]

Answer:

The function f(x) when x=x-4 is f(x-4)=3x^2-24x+53  or f(x-4)=3x(x-8)+53

Step-by-step explanation:

Given function f is defined by f(x)=3x^2+5

Now to find the function f(x-4):

f(x)=3x^2+5

Put x=x-4 in the above function we get

f(x-4)=3(x-4)^2+5

f(x-4)=3(x^2-2(x)(4)+4^2)+5 (using the formula (a-b)^2=a^2-2ab+b^2)

f(x-4)=3(x^2-8x+16)+5

f(x-4)=3x^2-24x+48+5 (adding the like terms)

f(x-4)=3x^2-24x+53

f(x-4)=3x(x-8)+53

Therefore f(x-4)=3x^2-24x+53  or f(x-4)=3x(x-8)+53

The function f(x) when x=x-4 is f(x-4)=3x^2-24x+53  or f(x-4)=3x(x-8)+53

4 0
3 years ago
Other questions:
  • What is the difference in the surface area of two cubes, one with edge 15 and one with an edge of 12
    8·1 answer
  • Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at
    13·1 answer
  • ALGEBRA Find the value of each variable in the parallelogram.
    7·1 answer
  • The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square fe
    11·1 answer
  • Who ever gets it right first gets brainlyest plz help!
    6·1 answer
  • What is the ratio of a nickel to one dollar, reduces to simplest form?
    9·2 answers
  • Module 2 - Lesson 23<br><br> 9152/29 ANSWER IT FAST PLEASE
    8·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    5·1 answer
  • Help please ?!?!?!!???????!???!???!!????!!??!??!?!?!!??!?!!????
    9·1 answer
  • Find the measure of angle d.<br> d°
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!