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svet-max [94.6K]
3 years ago
6

three cones have a volume of 192π cm³.Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. fin

d the height of each one
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

9514 1404 393

Answer:

  A: 144 cm

  B: 64 cm

  C: 36 cm

Step-by-step explanation:

The volume of a cone is given by ...

  V = (1/3)πr²h

Solving for h, we get ...

  3V/(πr²) = h

Filling in the given values, we get ...

  3(192π)/(πr²) = h

  576/r² = h

Then the heights of the different cones are ...

  A: r = 2, h = 576/4 = 144 . . . cm

  B: r = 3, h = 576/9 = 64 . . . cm

  C: r = 4, h = 576/16 = 36 . . . cm

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zysi [14]

Answer:

y = 5;  x = 1/5

Step-by-step explanation:

xy = 1    ----->  x = 1/y

xy^2 = 5 -----> 1/y * y^2 = 5

y^2 / y = 5

y = 5

5x = 1

x = 1/5

Hope this Helps!

5 0
3 years ago
Divide £250 in the ratio 3:6:1
Nina [5.8K]

Answer:

Step-by-step explanation:

The numbers in the ratio add up to 10. So divide 250 by 10. One part is £25. Multiply by the given numbers: 3x25=75. 6x25=150. 1x25=25. So you have £75:£150:£25.

Stay safe; stay healthy!

8 0
3 years ago
4. A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean
Ede4ka [16]

Adding 2 to each value of the random variable X makes a new random variable X+2. Its mean would be

E[X+2]=E[X]+E[2]=E[X]+2

since expectation is linear, and the expected value of a constant is that constant. E[X] is the mean of X, so the new mean would be

E[X+2]=10+2=12

The variance of a random variable X is

V[X]=E[X^2]-E[X]^2

so the variance of X+2 would be

V[X+2]=E[(X+2)^2]-E[X+2]^2

We already know E[X+2]=12, so simplifying above, we get

V[X+2]=E[X^2+4X+4]-12^2

V[X+2]=E[X^2]+4E[X]+4-12^2

V[X+2]=(V[X]+E[X]^2)+4E[X]-140

Standard deviation is the square root of variance, so V[X]=3^2=9.

\implies V[X+2]=(9+10^2)+4(10)-140=9

so the standard deviation remains unchanged at 3.

NB: More generally, the variance of aX+b for a,b\in\mathbb R is

V[aX+b]=a^2V[X]+b^2V[1]

but the variance of a constant is 0. In this case, a=1, so we're left with V[X+2]=V[X], as expected.

5 0
3 years ago
BAC EDF BAC is 24 what is EDF
allochka39001 [22]

Answer:

6inches^2

Step-by-step explanation:

7 0
3 years ago
What is the distance between the points (2, 5) and (5,7)?
Svetlanka [38]

Answer:

\sqrt{13}

Step-by-step explanation:

The distance formula that gives the distance between two points is given as:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in our given points, we get:

d=\sqrt{(5-2)^2+(7-5)^2},\\d=\sqrt{3^2+2^2},\\d=\sqrt{9+4},\\d=\fbox{$\sqrt{13}$}.

6 0
3 years ago
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