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Vinil7 [7]
3 years ago
12

The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units. A sphere has a radius of x units. What is the val

ue of x? 4 units 5 units 8 units 10 units
Mathematics
2 answers:
Tpy6a [65]3 years ago
4 0

Answer:

(b) Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere  = (\frac{500}{3})\pi cubic units  ... (1)

Also, radius of the sphere  = x  units

Now, VOLUME OF SPHERE  = (\frac{4}{3}) \pi r^3

So, volume of a sphere with radius x  = (\frac{4}{3}) \pi (x)^3

But volume of sphere is given by (1).

\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3})  \times (\frac{3}{4})  = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x  = 5

Hence, radius of the sphere = 5 units.

FrozenT [24]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

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Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxe
Bond [772]

Answer:

5.4

Step-by-step explanation:

Juss took the test

7 0
3 years ago
I need to submit this soon help plz, sorry for asking a lot, I'm not that good at math
garik1379 [7]

Answer:

1.4000

2.5.551

3.6.8

4.10.00

5.4

Step-by-step explanation:

1 4066 as an example start from the end a 5 or more it turns to a zero and the one next to it

so in this case we now have 4100 but since it isn't 5 or more we make it a zero and move on so now we have 4000

sorry if I am wrong I am also an idiot so hopefully this helps for the future :)

5 0
2 years ago
Number ten please thanks
BlackZzzverrR [31]
-3^2= -(3)^2

The exponent of 2 only applies to the number 3. -(3)^2 should equal -9. This is true because according to the order of operations, exponents should be evaluated before multiplication. The negative sign here represents -1* 3^2.
If you want to find -3 to the power of 2 it must be written (-3)^2.
5 0
3 years ago
Nine times the sum of a number and two is forty five. What is the number?
kondaur [170]

Answer:

3

Step-by-step explanation:

9 x (N + 2)   = 45

9N + 18       = 45

9N              = 27  

N                 = 3  

6 0
3 years ago
What is the y-intercept, axis of symmetry and vertex of the following function.
tamaranim1 [39]
To find the y intercept you must substitute 0 into x.

F(x) = (-3x0) - (6x0) - 5
F(x) = -5

To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate

x = 6/(-3x2)
x = 6/-6
x = -1

Now we need to find the y coordinate so we sub -1 into x.

F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4

The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.
5 0
2 years ago
Read 2 more answers
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