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3 years ago

The volume of the cone is 83.7 cubic meters. Find the diameter. Round your answer to the nearest whole number.

Mathematics

1 answer:

Arturiano [62]3 years ago

8 0

Answer:

9.6 ft

Step-by-step explanation:

The cone is shown in the attachment

The volume of a cone is calculated using: $V=\frac{\pi r^2h}{3}$

We have that the volume is 83.7 and from the diagram , the height is $3.5 ft$ .

We substitute to obtain:

$83.7=\frac{3.14*r^2*3.5}{3}$

This implies that:

$r^2=\frac{83.7*3}{3.5*3.14} \\r^2=22.848\\r=\sqrt{22.848}\\ r=4.8$

The diameter is two times the radius.

Therefore the diameter is $2(4.8)=9.6ft$

You might be interested in

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 14 adult smartphone us

emmasim [6.3K]

The probability that fewer than 4 of then use their smart phones in meetings or classes is 0.00030243747.

Step-by-step explanation:

Fewer than 4 means ,less than 4 which is any number less than 4 and not including 4. This is 3, 2,1 and 0. So you find the probability that exactly 3 of then use their smart phone, exactly 2 of them use their smart phones, exactly 1 of them use his/her smart phone and none of them.

Given that 52% use smartphones in meetings and classes =0.52

Thus the remaining 48% do not use smartphones in meetings and classes=0.48

For C(14,3) you will have "14 chose 3", number of ways of choosing 3 out of 14'

=(0.52)³ *(0.48)⁹=0.00019018714

For C(14,2) you will have "14 chose 2", number of ways of choosing 2 out of 14

=(0.52)²*(0.48)¹²=0.00004044841

For C(14,1) you will have "14 chose 1", number of ways of choosing 1 out of 14

=(0.52)¹*(0.48)¹³=0.000037337

For C(14,0) you will have "14 chose 0", number of ways of choosing 0 out of 14

=(0.52)⁰*(0.48)¹⁴=1*0.00003446492=0.00003446492

The probability that fewer than 4 of them use their smartphones in meetings or classes will be

0.00019018714 +0.00004044841+0.000037337+ 0.00003446492=0.00030243747

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4 0

3 years ago

If g(x) = 2x + 4, find g(1).

JulijaS [17]

G(1) = 2(1) + 4 = 6
g(1) = 6

6 0

3 years ago

Someone please help ASAP

kondor19780726 [428]

I haven't done this in a while, but I'm pretty sure the answer is D, (-3, -1.)

If you were to substitute x for -3 and y for -1 in the first inequalities and simplify, it would look like this:

-1 > -3-2

-1 > - 5

And that inequality is true, because -1 is bigger than -5. Let's also substitute in the other inequality, which would be:

-1 > 2(-3) + 2

-1 > -6 + 2

-1 > -4

And -1 is bigger than -4. So, I think the answer would be D because substituting for those values of x and y would stil. make the inequalities true.

5 0

3 years ago

Which is the solution to the equation below? -3=t- 12 A-9 C 9 B 4 D 15

omeli [17]

ANSWER:
9 (C)

hope this helps

4 0

3 years ago