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]
2 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]2 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
A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha
lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

8 0
2 years ago
What is the answer to 5x+9x=100?
alexira [117]

Answer:

50/7.

Simplified to 7.14.

Step-by-step explanation:

Combine like terms, 5x and 9x.

5x+9x=14x

14x = 100

14x / 14 = 100 / 14

x = 50/7 or 7.14

Hope this helps!

5 0
2 years ago
Read 2 more answers
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 2:1?
harina [27]
I hope this helps you

5 0
2 years ago
Read 2 more answers
Find an ordered pair, x y that is a solution to the equation. 5x + y = 6
yarga [219]

Answer:

(0, -5)

Step-by-step explanation:

4 0
3 years ago
Plsss help!!!<br>y = ??<br>X =???​
Lyrx [107]

Answer:

x=80* y=20* and X=100*

Step-by-step explanation:

If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.

We know that a triangle adds up to 180 degrees.

Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).

By opposite angles, QXP is equal to 80 degrees also.

Then we are left with solving for X.

Supplementary angles add up to 180 degrees.

Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.

8 0
3 years ago
Other questions:
  • Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
    8·1 answer
  • 6x-58+2x+4=5x<br>find the value of x
    8·1 answer
  • Jeff is traveling from Atlanta to Columbia and then to Charleston. He decides to plot the cities on a coordinate plane. He puts
    14·2 answers
  • . <br> What is the value of x?<br> A;90<br> B;225<br> C;180 <br> D;135
    7·1 answer
  • Ions, explain why.<br> |17x – 3x|+ 2 = 18
    7·1 answer
  • I need help asap :)/)/)
    9·1 answer
  • PLEASE I NEED HELP WITH MATH HW WITH EXPLANATION!!! <br> Question: Find the value of the varible
    11·1 answer
  • Which expression is represented by the diagram?
    14·1 answer
  • Plz help me well mark brainliest if correct!!.....
    15·2 answers
  • Given the points? what is ...
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!