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
Which intervals show f(x) increasing? choose two options
vivado [14]

Answer:

(-1.6, 0)

(0, 0.8)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Whats y⁵ ×y im confused lol pls respond to this​
klemol [59]

Answer:

5y^5

Step-by-step explanation:

there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify

3 0
3 years ago
-6(-6q - 9q + 1) -3q
Dovator [93]

Answer:

87q-6

sorry if i am incorrect.

Step-by-step explanation:

4 0
3 years ago
___(x – 2)2 − 4 = -3x2 + 12x − 16
fiasKO [112]
The answer is x= 1/5 or 0.2
8 0
3 years ago
Solve for x using the quadratic formula. 4x^2-3x+8=0
Paraphin [41]

Answer:

answer : x = 3±√ 119 / 16

is correct answer ...plz mark my answer as brainlist ... plzzzz and plz vote me as brainlist

8 0
3 years ago
Read 2 more answers
Other questions:
  • WHAT IS THE DIFFERENCE BETWEEN ARITHMETIC AND GEOMETRIC SEQUENCES AND SERIES'?
    6·1 answer
  • A video streaming service offers unlimited movies for $15 per month or $1.99 per movie. Write an inequality that represents when
    8·1 answer
  • -2 x - 5 y equals 24 solve y and x intercept
    7·1 answer
  • A spinner is divided into four equal sections labeled 1, 2, 3, and 4. Another spinner is divided into three equal sections label
    9·2 answers
  • Find the difference between the actual and estimated value of 55-21​
    14·1 answer
  • You estimate that there are 80 marbles in a jar. the actual amount is 76 marbles. find the percent error. round to the nearest t
    11·2 answers
  • Mike is overdrawn at the bank by $18. His sister has $23 more than him. How much does
    11·2 answers
  • Please help math is hard!
    12·2 answers
  • Rewrite in the simplest terms: 8k - 9(4k +4)
    15·2 answers
  • A candy bag contains 13 green, 2 blue, 10 red, and 5 orange candies. You choose 4 candies from the bag without looking
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!