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Otrada [13]
4 years ago
13

Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume

of a sphere =4/3πr^3)
Mathematics
1 answer:
zimovet [89]4 years ago
3 0

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

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Juliette [100K]
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Natasha2012 [34]

Answer:

C

Step-by-step explanation:

C because you multiply the nimbers and then divid.

3 0
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Law Incorporation [45]

Answer:

B

Step-by-step explanation:

-4+4=0

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4 0
3 years ago
HELP What is the area of this figure?
Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
_________________________________________________
4 0
4 years ago
A 190 inch pipe is cut into 2 pieces. One piece is 4 times the length of the other. Find the length of the other piece
sergeinik [125]

Answer:

The length of the other piece is 38 inch.

Step-by-step explanation:

Given:

A 190 inch pipe is cut into 2 pieces. One piece is 4 times the length of the other.

Now, to find the length of the other piece.

Let the length of the other piece be x.

And the length of one piece be 4x.

The total length of the pipe = 190 inch

According to question:

4x+x=190

⇒5x=190

<em>Dividing both sides by 5 we get:</em>

⇒x=38

Therefore, the length of the other piece is 38 inch.

7 0
3 years ago
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