answer.
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
Troyanec [42]
2 years ago
10

Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radiu

s of 2 cm, what will the height of the cone be?
Mathematics
1 answer:
weqwewe [10]2 years ago
3 0

Answer:

Step-by-step explanation:

We'll call height h.

The equations of a cone and sphere are:

Cones: 1/3 * base area * h

Spheres: 4/3 π * r³

The base area of a cone would be the area of a circle equation:

π * r² = π * 2² = 4π.

Because you're converting from sphere to cone, you would set their equations equal to each other.

1/3 * 4π * h = 4/3 π * 5³

Next, isolate h.

h = (4/3 π * 5³)/(1/3 * 4π)

h = 125

Hope this helps!

You might be interested in
With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac
valkas [14]

Answer:

a = $31.23 per month

b = $20.83 per month

c = 249.98 = $249.98 interest charges

                   = $624-249.98 = 374.02 profit part decrease 8% inc.                  

d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08   = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

624.75/12 = 52.06 month 1 payment before charge

52.06-20.83 =31.23 total minimum payment

2500 + 249.98

Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)

We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02

33+2.02 = 35.35%

7 0
2 years ago
Equation that equals 69?
Anna007 [38]
3x23=69 is the equation that has the sum 69
5 0
2 years ago
Read 2 more answers
The exponential functions y=(1-25)^x-2/5. -10 is shown hraphed along woth the horizontal line y=115 their intersection is (a,115
evablogger [386]

Answer:26

Step-by-step explanation:

Y=1.25^x-2/5-10

Take log of both sides

So Y+10=1.25^x-2/5

So log to base 10 of the two sides of the equation is

Log(Y+10)=X-2/5log1.25.

To make X the subject, divide both sides by log1.25.

Log(Y+10)/log1.25=X-2/5.

Recall that Y was given to be 115

It becomes log(115 +10)/Log1.25=x-0.4

21.64=x-0.4

X=25.6

3 0
2 years ago
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which m
Sedaia [141]
The answer is the very first one! 
(x,y) --> (-x,y) 

It demonstrates a perfect reflection across the y-axis. 

Good Luck! 
7 0
2 years ago
Read 2 more answers
The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each
Art [367]

Answer:

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

4 0
2 years ago
Read 2 more answers
Other questions:
  • A basketball team plays 3 games in a holiday tournament. According to the tree diagram, how many outcomes are possible?
    5·2 answers
  • PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the
    13·2 answers
  • Do you think mr. carpenter should Use a rectangle to arrange the 29 quilt squares, if not, what shape should he use?
    6·1 answer
  • A computer salesman gets commission for each sale he makes. If he makes 1.0% commission on a sale of $2,000, how much commission
    7·1 answer
  • the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly
    7·1 answer
  • A wireless garage door opener has a code determined by the up or down setting of 17 switches. How many outcomes are in the sampl
    12·1 answer
  • Zahra plans to draw a triangle with angles measuring 50 , 60 , and 70 . Which is true about Zahra's plan? Zahra cannot make a tr
    8·2 answers
  • A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The runnin
    10·1 answer
  • A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
    13·1 answer
  • Assuming you have a TCF Free Student Checking Account, how many maximum overdraft fees can you incur in one day?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!