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
weeeeeb [17]
3 years ago
12

The height and radius of a cone are each multiplied by 3. What effect does this have

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0

The volume of the original cone is multiplied by 27

<h3><u>Solution:</u></h3>

We have been given that the height and radius of a cone are each multiplied by 3.

We need to find what effect it has on the volume of the cone.

<em><u>The volume of the original cone is given as follows:</u></em>

\text {Volume of cone}=\frac{1}{3} \pi r^{2} h

Now, the radius and height are multiplied by 3.

Therefore, the new radius is ‘3r’ and the new height is ‘3h’.

Hence the new volume is  

\text {Volume of new cone}=\frac{1}{3} \pi(3 r)^{2}(3 h)=9 \pi r^{2} h

original volume of cone x 27 = volume of new cone

Therefore, the original volume of cone is multiplied by 27

You might be interested in
The assignment is about : Subtract Polynomials What i have to do : Subtract the polynomials, showing all the steps necessary to
lawyer [7]
1. 3x^1 + 8 - (2x^2 + 1).....distribute the negative thru the parenthesis
    3x^1 + 8 - 2x^2 - 1....now combine like terms
    -2x^2 + 3x^1 + 7

2. 5x^2 + 3x - 4 - (x^2 - 6x)...same thing..distribute
    5x^2 + 3x - 4 - x^2 + 6x...combine like terms
    4x^2 + 9x - 4
6 0
3 years ago
Help me with this math problem.
kherson [118]

Answer:

158.333333

Step-by-step explanation:

do the percent correct divided by the number of questions then multiply it by 100

95/60=1.58333333

1.58333333*100=158.333333

8 0
3 years ago
Parks spent 1/3 of his money on a sweater. He spent 3/5 of the remainder on a pair of jeans. If he has $36 left, how much did th
laila [671]
1/3x + 3/5 * 2/3x = x - 36

1/3x + 6/15x = x - 36

11/15x = x - 36

4/15x = 36

x = 135

sweater costs 1/3x = 45

hope that helps, God bless!
8 0
3 years ago
Read 2 more answers
If the measure of DAC = 40 o, and the measure of CAB = 30o, which is the measure of arc DCB?
mr Goodwill [35]
It would be 70o I think.
4 0
3 years ago
What is the perimeter, to the nearest hundredth of a unit, of the the
AnnyKZ [126]

Answer:

20.31 units to the nearest hundredth.

Step-by-step explanation:

We need to use the distance formula between the points and find their sum.

D1 = √((2-2^2 + (1+3)^2)  = √16 = 4

D2 =  √(-1-2)^2 + (3-1)^2) = √13

D3 = √(-3+1)^2 + (0-3)^2) =  √13

D4 = √(-3+3)^2 + (-4)^2) = √16 = 4.

D5 = √(-3-2)^2 + (-4+3)^2) = √26.

Perimeter = D1+D2+D3+D4+D5

=  4+√13+√13 + 4 +√26

= 20.31 units.

4 0
3 years ago
Other questions:
  • Write an inequality for the following statement.<br> 9 is greater than a
    10·2 answers
  • Simplify 6(x + 3).<br><br> 6x + 3<br> 6x + 18<br> 6x + 9<br> x + 18
    8·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!40 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·2 answers
  • Photography World has a portrait special. A three-pose portrait package has a sitting fee of $35, and a six-pose package has a s
    15·1 answer
  • Hey I need help on 4 questions it would mean a lot to me if you answered them all
    5·1 answer
  • It’s a math problem (khan academy)
    11·1 answer
  • 8x + 16 = 8 =X answer<br>​
    11·1 answer
  • -5(x-7)&lt;15 solve for x
    15·1 answer
  • Perform the indicated operation.<br> f(n) = 4n - 5, g(n) = n^2 - 5<br> Find: (f - g) (n)
    11·1 answer
  • [Given that a = 3, b = -5 and c = 6] evaluate each of the following expressions.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!