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JulsSmile [24]
3 years ago
7

Please help me with this

Mathematics
1 answer:
horrorfan [7]3 years ago
4 0

Answer:

\dfrac{4000\pi}{3} ft³

Step-by-step explanation:

First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then

The formula for a sphere's surface area is A = 4\pi r^2

The formula for a sphere's volume is V=\frac{4}{3}\pi r^3

So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

V=\frac{A}{3}r

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - 400\pi ft² - so we can use the area formula to find that radius:

A=4\pi r^2=400\pi\\r^2=100\\r=10

And now that we have our radius, we can put it into our volume formula to find

V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3} ft³

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Answer:

C) 175.84 cubic feet

Step-by-step explanation:

V=πr^2h is the formula I used

I plugged in the numbers and solved

7 0
2 years ago
Read 2 more answers
K is the midpoint of PQ, P has
Pachacha [2.7K]

Answer:

Coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  (x_2,y_2)

We will use the formula of midpoint: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We are given midpoint K and x_1,y_1 the coordinates of P we need to find x_2,y_2 the coordinates of Q.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\

Now, we can write

-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16

So, we get coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

6 0
3 years ago
How many times does seven go into three hundred ninety four
Nookie1986 [14]

Answer: 56 times.

Step-by-step explanation:

394/7 = 56.3

56 * 7 = 392

392 + 7 = 399

399 is more than 394, therefore the answer is 56.

6 0
3 years ago
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15 points will mark brainliestttt
Lilit [14]
No because at the 13 min mark she is at 10.2 not just 10
5 0
3 years ago
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-1x-9y=13<br> -1x+7y=-19
Olegator [25]
-1x=13+9y
(13+9y)+7y=-19
13+16y=-19
16y=-6
•Y=6/16
-1x-(9•6/16)=13
-1x-3.375=13
-1x=16.375
•X=-16.375
6 0
3 years ago
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