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grandymaker [24]
2 years ago
14

Find the volume of the solid, please

Mathematics
2 answers:
Yuki888 [10]2 years ago
8 0

Answer:

1436.8 mi (nearest tenth)

Step-by-step explanation:

<u />

<u>Volume of a sphere</u>

\sf V=\dfrac43 \pi r^3

(where r is the radius)

Given:

  • r = 7 mi

Substituting given value into the equation and solving for V:

\begin{aligned}\implies \sf V &=\dfrac43 \pi (7)^3\\\\ & = \dfrac{1372}{3} \pi \\\\& = 1436.75504\\\\& =1436.8\: \sf mi \:(nearest\:tenth) \end{aligned}

dsp732 years ago
5 0

Answer:

V \approx=1436.8

Step-by-step explanation:

Variables and symbols:

  • r = radius
  • V = volume
  • A = surface area
  • C = circumference
  • π = pi = 3.1415926535898
  • √ = square root

Volume of a sphere in terms of radius:

V = \frac{4}{3}\pi r^3 , V \approx 4.1888r^3

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3}  \approx1436.75504

Round to nearest tenth: 1436.8

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How many solutions does this system have?
zhenek [66]

Answer:

A. None

General Formulas and Concepts:

<u>Algebra I</u>

  • Perpendicular Lines/Intersecting Lines have 1 solution.
  • 2 identical Lines have infinitely many solutions.
  • Parallel Lines have no solution.

Step-by-step explanation:

According to the graph, we see that we have 2 parallel lines. Therefore, there will be no solution.

5 0
3 years ago
Please help I asked this question earlier and nobody answered! :(​
tatiyna

Answer:

B

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form.  That form is usually written y=mx+b where  <em>m</em>  is the slope and  <em>b</em>  is the y-intercept.

Solve the first equation for y.

6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2

The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

y+3x=2\\y=-3x+2

The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and <u>different</u> y-intercepts.  There is no solution to the system.

8 0
3 years ago
Can someone help plz
KIM [24]
I think the answer is B.
8 0
3 years ago
1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into
iren [92.7K]

Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

(1431-3)/11=1428/11=129.82\\\\(1466-3)/11=1463/11=133

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

D=1500-1466=34

6 0
3 years ago
Wesley office had already recycled 37 kilograms this year before starting a new recycling plan, and the new plan will have the o
borishaifa [10]

Answer:

37 kilograms alr recycled this year

Plan:

1 kilogram each week

After 13 weeks he would of recycled 13 kilograms

37+13=50

In total his office wesley's have recycled 50 kilograms of paper

Hope this helps

8 0
3 years ago
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