Answer:
V = πr²h
S=2πrh
h= 2/3 millimeters
new height= 8/3 millimeters
S= 8π millimeters square
New surface area = 32π millimeters square
Step-by-step explanation:
The volume of the cylinder is given by V = πr²h where r is the radius and h is the height.
The surface area of the cylinder is given by S= 2πrh + 2πr²
Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.
V = πr²h
96π= π (6*6) (h+2)
96 = 36 (h+2)
96/36= h+2
h= 96/36-2
h= 96-72/36
h= 24/36
h= 4/6
h= 2/3 millimeters
New height
h + 2= 2/3 + 2
= 2+6/3= 8/3 millimeters
Now S =2πrh
S = 2π(6) (2/3)
S= 8π millimeters square
New Surface area
S = 2π(6) (8/3)
S= 32π millimeters square
Answer:
Step-by-step explanation:
We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:
Now,
the slope of the line BC matches with the slope of y=-3.5x-15.
the slope of the line DE matches with the slope of y=-0.5x-3.
the slope of the line HI matches with the slope of y=1.25x+4.
the slope of the line LM matches with the slope of y=5x+9.
and the slopes of the lines FG and JK do not match with any of the functions given.
Thus,
Answer:
1/12
Step-by-step explanation:
There are 4 clothing choices and 3 colors.
4x3=12
This means you have a 1 in 12 chance of getting an orange hat.
This presupposes that there are EQUAL numbers of pieces and colors. (111 of each).
Answer:
81 or 20 1/4
Step-by-step explanation:
im not sure sorry
