Answer:
2 2/3 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume =96 pi and the diameter is 12
We want the radius
r =d/2 = 12/2 =6
96 pi = pi * (6)^2 h
96 pi = 36 pi h
Divide each side by 36 pi
96 pi/36 pi = 36pi h / 36 pi
8/3 = h
Changing from an improper fraction to a mixed number
2 2/3 = h
9..................................................................
Answer:
(-4, -3), (4, -1), (8, 0), (12, 1)
Step-by-step explanation:
The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)
(x, y) = (-4, -3) . . . . from the first table entry
(x, y) = (4, -1) . . . . from the second table entry
(x, y) = (8, 0) . . . . from the third table entry
(x, y) = (12, 1) . . . . from the last table entry
Answer:
Pefect Squares but Not Perfect Cubes: 256, 361
Both Perfect Squares and Perfect Cubes: 1, 64
Perfect Cubes but Not Perfect Squares: 125
Step-by-step explanation:
256=16^2 ; 361=19^2
1=1^2=1^3 ; 64=8^2=4^3
125=5^3
96=6*16 (Not squares nor cubes)
200=2*100 (Not squares nor cubes)
333=37*9 (Not squares nor cubes)
