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:
1 3/4 or 1.75
Step-by-step explanation:
An easy way to do this is to convert to decimals
1/4 = 0.25
2/4 = 0.5
3/4 = 0.75
Now, for the numbers for this problem.
2 3/4 would be equal to 2.75
3 1/2 would be equal to 3.5
Add those two numbers together and you get 6.25
Subtract that from 8 and you get 1.75 or 1 3/4
30a^2b^4 GCF = 2
24ab^3 GCF = 3
Edit: 33% is not
, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68
The following is the original solution, which is incorrect.
33% =
. Multiply the bonus of $496 by
to get the solution of
, or 165 and
Therefore the solution is $165.33
Replace the x with 2: f(2)=2*2+7=4+7=11
replace the x with 7: f(7)=2*7+7=14+7=21
