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
Alik [6]
3 years ago
12

Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical plece of bub

ble gum nested at the bottom
of the cone. The radius of the snow cone is 2 inches, and the height of the cone is 3 inches. If the diameter of the bubble gum is 0.5 inches, which of the following
can be used to calculate the volume of the cone that can be filled with flavored ice?
03 (3.141213) - 13.140.259
0313.141312) - (3.1410.259
0313.141213) - 13.1410.59
0343.141312) – 13.1410.59
Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.

V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.

V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is

V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Answer:

The volume is 115.5π in³ or 362.9 in³ (nearest tenth)

You might be interested in
How many permutations can be made with the letters in the word Metallica
pentagon [3]
<h3>Answer:   90720 </h3>

===============================================

Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

5 0
3 years ago
If I Mowed 4 yards for 20 dollars what the rate and unit rate
Vilka [71]

Answer:

The rate would be: 4:20 and the unit rate would be 1:5.

Step-by-step explanation:

4 0
3 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
It's a quartile question.
Mkey [24]

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

5 0
3 years ago
A clothing store offers a free T- shirt when a customer spends $75 or more. Lyndon has already spent $36.95 which statement best
Anna [14]
$38.05 or more because you need a minimum of $38.10
8 0
3 years ago
Other questions:
  • The measure of angles A is 124. Classify the angle as acute, right, obtuse, or straight.
    5·2 answers
  • What will make the equation true 4x + 3 = 11
    8·2 answers
  • The employer of a tipped employee is only required to pay $2.13 per hour. true or false?
    15·1 answer
  • Find the inverse of f(x)=2x^2+5
    10·1 answer
  • Its just a line ;)<br> ___________________
    13·1 answer
  • Identify the point of tangency in the circle shown​
    8·2 answers
  • The ratio of fiction books to non-fiction
    7·1 answer
  • Dustin computed his family's road trip as
    15·1 answer
  • Jerry works for 7 hours at $10.50 per hour. How much does she earn
    13·2 answers
  • A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!