All categories

2 years ago

A cone has volume of 3.

Mathematics

2 answers:

DanielleElmas [232]2 years ago

7 0

Answer:

r = 1 h = 9

r = 2 h = 2.25

r = 5 h = .36

r = 1/2 h = 36

Step-by-step explanation:

volume of a cone = ( π * r^2 * h )/ 3

3π = (π * r^2 * h )/3

9π = π * r^2 * h

9 = r^2 * h

h = 9 / r^2

when r is 1 h is 9

when r is 2 -> 9 ÷ 4 = 2.25 = h

when r is 5 -> 9 ÷ 25 = .36 = h

when r is 1/2 -> 9 ÷ 1/4 = 9 * 4 = 36 = h

hjlf2 years ago

6 0

Answer:

9/pi or 2.865

2.25/pi or 0.716

9/25pi or 0.115

36/pi or 11.459

Step-by-step explanation:

The formula for the volume of a cone

V= 1/3pir^2h

V= volume

pi= 3.141592...

r= radius

h= height

1) 3= 1/3pi (1)^2h

9=pi(h)

h= 9/pi or 2.865

2) 3= 1/3pi (2)^2h

9=4pih

h= 9/4pi or 0.716

3) 3= 1/3pi (5)^2h

9= 25pih

h= 9/25pi or 0.115

4) 3=1/3pi (1/2)^2h

9= 1/4pih

h= 36/pi or 11/459

You might be interested in

Five divided by two multiplied by six

max2010maxim [7]

I think the answer is 15, because 5 divided by 2 is 2.5. 2.5 times 6 is 15

5 0

2 years ago

Read 2 more answers

The picture is above.

vladimir2022 [97]

Answer: =x4+3x3+2x2−4

Step-by-step explanation:

(x2+3x+2)(x2)−4

Distribute:

=(x2)(x2)+(3x)(x2)+(2)(x2)+−4

=x4+3x3+2x2+−4

6 0

2 years ago

2-2s=\dfrac34s+132−2s= 4 3 s+13

asambeis [7]

Answer:

aaaannnnnnsssswwweeeerrr fffoooorrrr thhhhhiiisss pppprrroobbllleeemmm is s+14

6 0

2 years ago

What’s the equation for (8,2)(0,0)

Kay [80]

Answer: y=4x

Step-by-step explanation:

We will make use of the slope intercept form to solve this question:

First of all, we have to calculate the slope from the 2 points (8,2) and (0,0).

We know that the formula for the slope is: m = (y2 - y1) / (x2 - x1)

From the question, y2 = 0, y1 =2, x1 =8 and x2 = 0.

Therefore, slope (m) = (0 - 2)/(0 - 8)

This gives us m = 2/8 and simplified further to 1/4.

The slope intercept form of the equation is y = mx + c where "m" is the slope.

Therefore substituting the value of 1/4 for "m" in the equation, we get;

y = (x/4) + c

Now to get the value of "c",let's substitute the value of x and y from the first intercept of (8,2).

We get; 2 = (8/4) + c

; 2 = 2 + c

Subtract 2 from both sides to get c = 0.

Also, when we use the value of x and y from the second intercept (0,0), we get the same value of c=0

Therefore the equation for the 2 points are y = 4x + 0 which gives y=4x

4 0

2 years ago

Y=4x-6 and passes through point 8,12

umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

$y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20$

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

$y=mx+b\\y=4x-20$

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

$y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14$

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

$y=mx+b\\y=-\frac{1}{4} x+14$

8 0

2 years ago