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densk [106]
4 years ago
15

What is the radius of a sphere which area is equal to the sum of the areas of four circles of radius 7?

Mathematics
1 answer:
antiseptic1488 [7]4 years ago
3 0

Answer:

radius = 7 units

Step-by-step explanation:

Given:

Radius = 7 units

Find area of 4 circles:

1 circle = π (7)² = 49π units²

4 circles = 49π x 4 = 196π units²

Find radius of sphere:

4πr²  = 196π

r² = 49

r = 7

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a cylindrical bucket has a radius of 6 inches and a height of 18 inches. What is the minimum number of buckets of water needed t
ivanzaharov [21]

Answer:

Minimum 7 buckets of water is needed to completely fill spherical storage tank.

Step-by-step explanation:

We are given the following in the question:

Cylindrical bucket:

Radius, r = 6 inches

Height = 18 inches

Volume of bucket = Volume of cylinder

V = \pir^2 h \\V = 3.14\times (6)^2\times 18\\V =2034.72\text{ cubic inches}

Spherical storage tank:

Radius, r = 15 inches

Volume of tank = Volume of sphere =

V =\dfrac{4}{3}\pi r^3\\\\\V = \dfrac{4}{3}\times 3.14\times (15)^3\\\\V = 14130\text{ cubic inches}

Number of baskets required =

n = \dfrac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =\dfrac{14130}{2034.72} = 6.94 \approx 7

Thus, minimum 7 buckets of water is needed to completely fill spherical storage tank.

5 0
4 years ago
5x + 3y = -3 <br><br> 2X - 3y = 24
gregori [183]

Answer:

Y=-5/3x-1

y=2/3x-8

If you are adding then it is:

7x=21

x=3

Step-by-step explanation:

5x+3y=-3

3y=-5x-3

y=-5/3-1

2x-3y=24

-3y=-2x+24

y=2/3x-8

5 0
3 years ago
Read 2 more answers
There were 42 students who took a test in mathematics.there were 36 students who passed test 1, and there were 38 who passed tes
Keith_Richards [23]
We are giiven with two realms:  36 students who passed test 1 and <span>38 who passed test 2 in which 42 students overall took the test. to determine U' or those who didn't pass either of the tests, then we use the formula:  
A or B = (A+B)-AandB
A/B = (36+38)-AandB= 74-AandB
42 = A+ B - AandB + U'; 42 = 74-  AandB+ U'

where U' is the number who did not pass

U'= -32 + AandB
U' cannot be negative but can be zero,
AandB = 32 @ minimum number of those who fail.
AandB cannot be greater than 38 but can be greater than 36, hence
U' = -32 + 38 @ maximum number of those who fail.

Answer then is 6. 


</span>
7 0
3 years ago
A courtroom spectator merely looks at the defendant and says, “He’s guilty, i tell you.”
Zigmanuir [339]

Answer:

hes lyin prolly

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Select all the equations that are true, and you can only pick 3...
lesya [120]

Answer:

I only see one true equation.  Please check the statements.

Step-by-step explanation:

О 0+451=0← for A      <u><em>FALSE</em></u>

О 130+210=210+130← for B        <u><em>FALSE</em></u>        

О (123+57)+180=180+(87+180)←for C    <u><em>FALSE</em></u>

√ for= 497+0=497←for D            <u><em>TRUE</em></u>

5 0
2 years ago
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