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scoray [572]
3 years ago
15

The large sphere has a diameter of 20 feet. A large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet i

s cut out of the center of the larger sphere. Which expression represents the volume, in cubic units, of the shaded part of the sphere? Four-thirdsπ(103) + Four-thirdsπ(43) Four-thirdsπ(103) – Four-thirdsπ(43) Four-thirdsπ(203) + Four-thirdsπ(43) Four-thirdsπ(203) – Four-thirdsπ(43)
Mathematics
2 answers:
wolverine [178]3 years ago
4 0

Answer:

its b

Step-by-step explanation:

lisov135 [29]3 years ago
3 0

We have been given that a large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet is cut out of the center of the larger sphere. We are asked to find the volume outside smaller sphere and inside larger sphere.

The volume outside smaller sphere and inside larger sphere will be equal to volume of larger sphere minus volume of smaller sphere.

V=\frac{4}{3}\pi R^3-\frac{4}{3}\pi r^3, where,

R = Radius of larger sphere,

r = Radius of smaller sphere.

We know that radius is half the diameter, so radius of larger sphere would be R=\frac{20}{2}=10.

Since the smaller sphere has a radius of 4 feet, so r=4.

Upon substituting these values in above formula, we will get:

V=\frac{4}{3}\pi (10)^3-\frac{4}{3}\pi(4)^3

Therefore, the volume outside smaller sphere and inside larger sphere would be \frac{4}{3}\pi (10)^3-\frac{4}{3}\pi(4)^3 and option B is the correct choice.

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kramer

Answer:

You should go with the 1st, because it's cheaper.

Step-by-step explanation:

1st plan:

30$ which include 75 mins of free calls and 100 free text messages

25 more mins * 10¢ /min(0.1$/min) = 2.5$

You will pay 32.5$

2nd plan:

(calls)100*0.3$=30$

(text messages)100 * 0.1$=10$

30+10 = 40$

8 0
3 years ago
3 < -5n + 2n Please show your work! Just in number form!
vovangra [49]

Answer:

[See Below]

Step-by-step explanation:

✦ Combine like terms:

  ✧ -5n + 2n = -3n

✦ Rewrite:

  ✧ 3 < -3n

✦ Divide:

  ✧ 3 / -3 = -1

So n = -1.

~<em>Hope this Helps Mate. If you need anything feel free to message me. </em>

8 0
3 years ago
Read 2 more answers
If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines int
coldgirl [10]
<h3>The lines intersect at (x,y) = (6,2)</h3>

This is simply because the x coordinate is 6 and the y coordinate is 2.

The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.

The line y = 2 is horizontal where all points on it have a y coordinate of 2.

The vertical and horizontal lines intersect at (6,2)

8 0
1 year ago
LaTanya will walk her bike from her house to the bike shop, which is 1.5 mi from her house, to get the bike fixed. She expects t
Gnoma [55]

Answer:

no

Step-by-step explanation:

30+30=60

5 0
3 years ago
Please help idk the answer!!! :( will give brainiest
ankoles [38]

Answer: x = 111

Step-by-step explanation:

This question makes use of Remote Exterior Angles.  

<u>Remote Exterior Angles</u><u> states that the value of a remote exterior angle(x here) is always equal to the sum of the two remote interior angles(82 and 29 here)</u>.  

Thus, x = 82 + 29.  

Thus x  = 111

Hope it helps <3

3 0
3 years ago
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