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
 
        
             
        
        
        
Answer:
Luka had 6 slices, Kira had 9 slices and Ali 12 slices 
Step-by-step explanation:
Each had 2/3 of their slices hence 
Luka = 3/2 x 4 slices = 6 
Kira = 3/2 x 6 slices = 9 
Ali = 3/2 x 8 slices = 12
 
        
             
        
        
        
Answer:
What do you call a bommerang that won't come back?
a stick
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem = 
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
 Let's both simplify and rearrange this at the same time so that we have our b on one side.
 Let's both simplify and rearrange this at the same time so that we have our b on one side.
 = 1056.25 - 156.25
 = 1056.25 - 156.25
b = 
b = 
b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75  Here's the perimeter for ABC.
 
        
             
        
        
        
It would be 16 more 6th graders that are not in either band or orchestra.
  15 6th Graders in band
  9 6th Graders in both classes
+18 6th Graders in orchestra
-----
42 6th Graders in either class
  100 6th Graders in total
 -42 6th Graders in either class
-------
58 6th Graders in neither class
 58-42= 16 more 6th Graders that are not in either class
You're welcome :)