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fiasKO [112]
3 years ago
10

A cone has a radius of 4 units and a height of 6 units.

Mathematics
2 answers:
Usimov [2.4K]3 years ago
7 0
We know, Volume of a Cylinder = πr² h/3
v = 3.14 * 4² * 6/3
v = 3.14 * 16 * 2
v = 100.48 

In short, Your Answer would be Option B

Hope this helps!
777dan777 [17]3 years ago
6 0

Answer:

\text{Volume of cone }=100.48\text{ cubic unit}

B is correct

\text{Volume of cylinder }=301.44\text{ cubic unit}

C is correct

Step-by-step explanation:

A cone has a radius of 4 units and a height of 6 units.

Formula:

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

Where, r=4 and h=6

\text{Volume of cone }=\dfrac{1}{3}\pi \cdot 4^2\cdot 6

                                    =100.48\text{ cubic unit}

If a cylinder has the same radius and the same height as the cone.

Formula:

\text{Volume of cylinder }=\pi r^2h

Where, r=4 and h=6

\text{Volume of cylinder }=\pi \cdot 4^2\cdot 6

                                    =301.44\text{ cubic unit}

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Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0
3 years ago
rectangle with a perimeter of 1110 meters, this rectangular shape is 30 meters longer than 6 times its width. find its dimension
Alecsey [184]

Answer:

The width of the rectangle is  75 meters and length is 480 meters.

Step-by-step explanation:

The perimeter of the rectangle = 1110 meters

Let the width of the rectangle = k meters

So,the length of the rectangle = 6k + 30

Now, PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)

⇒ 1110 = 2( k + (6k + 30))

or, 1110 = 14 k + 60

or, 14 k = 1110 - 60 = 1050

⇒ k = 1050/14 = 75

Hence, the width of the rectangle is k =  75 meters

and the Length of the rectangle is 6k + 30 = 6(75) +30

= 480 meters

6 0
3 years ago
What is the answer to 11-(-5)
joja [24]
11 - (-5) = 16. Hope that helped!
3 0
3 years ago
The sides of a triangle are in the ratio 3 4 5. what is the length of each side if the perimeter of the traingle is 30 cm?
Margaret [11]
Since both triangles are similar triangles, you are able to find the scale factor through the perimeter.

Perimeter of the 3 4 5 triangle is 12cm.
Scale factor = 30/12
= 2.5

Multiply the scale factor with the 3 4 5 triangle.
3 x 2.5 = 7.5 cm
4 x 2.5 = 10 cm
5 x 2.5 = 12.5 cm

To summarize, all 3 new values should sum up to 30cm.
8 0
3 years ago
Find the height of the tower.
vovangra [49]

Answer:

1920

Step-by-step explanation:

i think sorry if wrong

4 0
2 years ago
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