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Maru [420]
3 years ago
14

The volume of a cone is 20pi cubic meters. What is the volume of a cylinder with the same base and height?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0
Recall, the volume of a cone is 1/3pi times radius of base times height.
V cone_{} =  \frac{1}{3} * \pi *r^2*h

Volume of a cylinder is the same but without the 1/3
V cyl_{} = \pi*r^2*h

It gives you the cone volume 20pi and that the radius and height of both of them are the same values.
20 \pi= \frac{1}{3}  \pi r^2h
V cyl_{}= \pi r^2h

since it says the radius and height are the same for both , you can equate the two, you can solve both equations for r^2*h and then equate what is on the other side.
60=r^2h

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

so
60= \frac{V}{ \pi }
V=60  \pi
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Solve the equation by completing the square 5x(x+6)=-50
motikmotik
First lets distribute the 5x 
5x^2 + 30x = -50

Lets divide every term by 5 
x^2 + 6x = -10 

To complete the square we have to half the b value, which in this case is 6. Then square it. 
Half of 6 is 3, 3 squared is 9 

Add that to both sides of the equation 
x^2 + 6x + 9 = -1 

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment) 

(x+3)^2 = -1 

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and 
x = -3 + i


3 0
3 years ago
Which of the following is a possible unit for the volume of a cone?
mash [69]

Possible unit is m³

<u>Step-by-step explanation:</u>

  • The possible unit for volume of a cone is m³
  • Volume of a cone = Base area × Height
  • Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
  • In the given options, the only unit that is in cubic form is m³
8 0
3 years ago
A graph is a straight line through the point (0,5). Can the graph represent a proportional relationship?
cupoosta [38]

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

5 0
3 years ago
Point D is the centroid of Triangle ABC. Find CD and CE.<br> DE = 9
sukhopar [10]

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

x=9

Now,

CD=2x

CD=2(9)

CD=18

And,

CE=CD+DE

CE=18+9

CE=27

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

6 0
3 years ago
Need help please help me
Ostrovityanka [42]
The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)



If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

8 0
3 years ago
Read 2 more answers
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