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
Nutka1998 [239]
3 years ago
9

What is the volume of the plastic rocket???

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

You might be interested in
What is the answer of <br> 6 2/5 - 1 4/5 =
natulia [17]
The answer is 4 3/5! Hope this helps!
7 0
3 years ago
Read 2 more answers
Nickel-63 is a radioactive substance with a half-life of about 100 years. An artifact had
Marina CMI [18]

Answer:

see below

Step-by-step explanation:

The equation for half life is

n = no  e ^ (-kt)

Where no is the initial amount of a substance , k is the constant of decay and t is the time

no = 9.8

1/2 of that amount is 4.9 so n = 4.9 and t = 100 years

4.9 = 9.8 e^ (-k 100)

Divide each side by 9.8

1/2 = e ^ -100k

Take the natural log of each side

ln(1/2) = ln(e^(-100k))

ln(1/2) = -100k

Divide each side by -100

-ln(.5)/100 = k

Our equation in years is

n = 9.8  e ^ (ln.5)/100 t)

Approximating ln(.5)/100 =-.006931472

n = 9.8 e^(-.006931472 t)  when t is in years

Now changing to days

100 years = 100*365 days/year

36500 days

Substituting this in for t

4.9 = 9.8 e^ (-k 36500)

Take the natural log of each side

ln(1/2) = ln(e^(-36500k))

ln(1/2) = -36500k

Divide each side by -100

-ln(.5)/36500 = k

Our equation in years is

n = 9.8  e ^ (ln.5)/36500 d)

Approximating ln(.5)/365=-.00001899

n = 9.8 e^(-.00001899 d)  when d is in days

3 0
4 years ago
Read 2 more answers
Find the quotient. 4/6 divided by 4/12
Jobisdone [24]
The answer is 2. i hope this helps you.
3 0
4 years ago
Read 2 more answers
I need help on this question
Flura [38]

Answer:

you are adding a dollar and 50 cents each time

Step-by-step explanation:

then find your y and x and plot it

6 0
3 years ago
Find the measure of the line segment CE​
dsp73

9514 1404 393

Answer:

  29

Step-by-step explanation:

From the point where the chords cross, the product of lengths to the circle intercepts is the same for both chords:

  LB·LD = LC·LE

  10·18 = 9·LE

  LE = 180/9 = 20

The the measure of CE is ...

  CE = LC +LE = 9 + 20

  CE = 29

7 0
3 years ago
Other questions:
  • paula and ricardo are serving cupcakes at a school party. if they arrange the cupcakes in groups of 2,3,4,5 or 6, they always ha
    13·1 answer
  • Help me please!!!!!<br> Thanks if u did
    5·2 answers
  • You use substitution to solve a system of equations and, after simplifying the equations, end with an expression that says 0 = 4
    14·2 answers
  • The tour of the art museum started at 9:35 Ask Your Teacher It lasted for 1 hour 20 minutes. What time did the tour end?
    6·2 answers
  • Mr. Fry is building a fence around his pool.
    6·2 answers
  • T/3 = 11 solve equation and check souloution what is t
    14·2 answers
  • Given f(x) = -2 + 2, find f(-5).
    8·1 answer
  • Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
    12·2 answers
  • What is the slope of a line that is perpendicular<br> to a line with a slope of -⅓
    13·2 answers
  • How do I find a solution in an equation
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!