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:
- triangle
- square
- hexagon
- dodecagon
Step-by-step explanation:
The 12 points marked can be divided into this many equal-size groups:
3, 4, 6, 12
so the figures that can be constructed are ...
- triangle . . . . connects every 4th mark
- square . . . . . connects every 3rd mark
- hexagon . . . .connects every other mark
- dodecagon . . connects every mark
_____
12 is also divisible by 1 and 2, but the minimum number of vertices in a regular polygon is 3.
We can use the points (-4, 3) and (3, 1) to solve.
Slope formula: y2-y1/x2-x1
1-3/3-(-4)
-2/7
Therefore, the answer is C
Best of Luck!