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
Setler [38]
3 years ago
15

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

t is the height of the cone? Show work
Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

<u>Volume formula of Sphere</u>

V = \frac{4}{3} \pi r^2

<u>Substitute 1 in for r</u>

\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi  = 4.189 = Volume

<u>Finding the Height of a Cone</u>

Volume formula for Cone: V = \pi r^2\frac{h}{3}

<u />

<u>Solve for </u><u><em>h</em></u>

Multiply both sides by 3, then divide by pi and r^2.

h = \frac{3V}{\pi r^2}

<u>Plug in the volume and the radius.</u>

h = \frac{3(4.189)}{\pi (1)^2}

<u>Simplify</u>

h = \frac{12.567}{\pi }

h ≈ 4

<u>4 is approximately the height.</u>

<u></u>

<u></u>

<u><em>#TeamTrees #PAW (Plant And Water)</em></u>

You might be interested in
A person gain sp of 4 lemons by selling 20 lemon find profit percentage?​
dezoksy [38]

Answer:

Question not Understood

Step-by-step explanation:

I am not understanding the question. Are they Gaining 4 lemons by selling 20? Did they buy 24 lemons, and sell 20 then keep the 4? please elaborate

3 0
2 years ago
What is the answer to this equation? <br><br> 4x+39
RSB [31]

Answer:

U CAN'T SOLVED IT BECAUSE IT HAS A VARIABLE AND A NUMBER U CANNOT COMBINED THEM

8 0
3 years ago
Read 2 more answers
Y = x^2 + 6x + 4<br><br>Find the vertex<br>And please explain how I don't understand.
Bond [772]

Answer:

(-3, -5) This is my answer I hope it helps

3 0
2 years ago
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets
Paraphin [41]

Answer:

Divide the 1st equation by 2

a + 2c = 19

Divide the 2nd equation by 3

a + c = 13.5

Subtract the 1st equation and the 2nd equation

c = 5.5

Substituting back into the 2nd equation will give:

a + 5.5 = 13.5

a = 8

Step-by-step explanation:

8 0
3 years ago
Is 144 a perfect square or not​
Rina8888 [55]

Answer: Yes

Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.

In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.

6 0
3 years ago
Other questions:
  • AB is tangent to O. If AO=12 and BC=25 what is AB ? The diagram is not to scale.
    6·1 answer
  • Which statement about the polynomial function g(x) is true?
    7·1 answer
  • Jeremy is shopping online for skating equipment. He buys a longboard complete with trucks and wheels for $146.25. At checkout, J
    6·2 answers
  • Linda spent 3/4 of her saving on furniture and the rest on a tv.If the tv cost her $200,what were her original savings .
    12·1 answer
  • Turn 14.6% into a decimal
    8·2 answers
  • I always run out of qeustion
    8·2 answers
  • What the answer pls I suck at this just in the answer please thank you
    10·2 answers
  • The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
    14·1 answer
  • Help please im using my all out attack
    5·2 answers
  • What is Logarithms ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!