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
just olya [345]
3 years ago
11

A spherical scoop of ice cream is placed on a waffle cone. The

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

Amount of the melted ice cream that will overflow ≈ 78.31 cm³(nearest hundredth)  

Step-by-step explanation:

To know how much of the ice cream that will overflow the waffle cone we need to calculate the volume of the spherical scoop of ice cream and the volume of the cone.

volume of the spherical scoop of ice cream = 4/3 × πr³

r = 6.4/2 = 3.2  cm

volume of the spherical scoop of ice cream = 4/3 × 3.14 × 3.2³

volume of the spherical scoop of ice cream = 4/3 × 3.14 × 32.768

volume of the spherical scoop of ice cream = 4/3 × 102.89152

volume of the spherical scoop of ice cream = 411.56608 /3

volume of the spherical scoop of ice cream = 137.188693333

volume of the spherical scoop of ice cream = 137.189 cm³

Volume of the waffle cone = 1/3πr²h

r = 5/2 = 2.5 cm

h = 9 cm

Volume of the waffle cone = 1/3 × 3.14 × 2.5² × 9

Volume of the waffle cone = 1/3 × 3.14 × 6.25  × 9

Volume of the waffle cone = 176.625/3

Volume of the waffle cone = 58.875

Volume of the waffle cone = 58.875  cm³

The amount of the ice cream scoop that will overflow after dissolving will be the volume of the ice cream scoop minus the volume of the waffle cone.

amount that will overflow = 137.189 - 58.875  

Amount of the melted ice cream that will overflow = 78.314  cm³  

Amount of the melted ice cream that will overflow ≈ 78.31 cm³(nearest hundredth)  

You might be interested in
I WILL GIVE YOU 40 POINTS AND THE HIGHEST ANSWER. YOU HAVE TO DO WHAT THE STEPS SAYS IN ORDER TO GET EVERYTHING
Marat540 [252]
This is a 30-60-90 triangle, in which the side opposite of the 90 degrees is the longest side (2), the side opposite of the 60 degrees is the √3 (2√3 in this case), and the last side (opposite of the 30 degrees) is the (1)

2√3/√3 = 2

So the side opposite  of the 30° = 2

a) the width is 2 miles

The length of the side walk is 2(a)
a = 2

2(2) = 4

b) The length of the sidewalk is 4 miles

hope this helps
5 0
3 years ago
An arithmetic sequence has this recursive formula:
maria [59]

Answer:

C

Step-by-step explanation:

C is the answer because a1=7 , d=-4 and so it's

an=an+(n-1)d

3 0
2 years ago
(WILL GIVE BRINALIST TO BEST ANWER) WHATS the measure of < 3
malfutka [58]

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

8 0
2 years ago
I need help please. If you are correct, I will give you Brainliest.
earnstyle [38]

Answer:

(C) 220

Step-by-step explanation:

Let x represent the number of adult tickets sold and y represent the number of student tickets sold. With the information given, we can set up two equations:

x+y=360

5x+3y=1360 (Since for every adult ticket sold, $5 is made and for every student ticket sold, $3 is made)

In the first equation, we can represent x in terms of y:

x=360-y

And then, we can substitute x in the second equation for 360 - y to get:

5(360-y)+3y=1360 which simplifies to:

1800-2y=1360 and therefore, y=220.

Hope this helps :)

5 0
2 years ago
What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3
adoni [48]

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

5 0
2 years ago
Other questions:
  • Three eights of the cast in a musical have to sing. What fraction of the cast does not have to sing?
    6·2 answers
  • NEED MAJOR HELP WITH HW! ps: will make brainliest!
    14·1 answer
  • Kim is applying for a job that will pay her $14.75 per hour plus a living
    5·2 answers
  • Brainiest <br><br><br>I Am Struggling With Two Questions :?<br> This is one of the two
    8·1 answer
  • 10. What is the slope of this line? What is the y-intercept? (need both for full credit)
    13·1 answer
  • Which diagram represents a fraction equivalent to 75%?
    14·2 answers
  • L Practice &amp; Problem Solving
    13·1 answer
  • please can someone tell me what HCF and LCF is and their defferences because i always get find them confusing​
    13·2 answers
  • Help me find the slope to these points<br> (2,5) and (8, -4)
    11·1 answer
  • Section 5.2 Problem 17:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!