The surface area in square units of a cylinder with a volume of 18 cubic units is a function of its radius in units where . What is the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units
Answers
Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).
How to Find surface area of cylinder?
You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.
Therefore,
The cylinder's surface area is 264 cm2 (approximately)
3 unit is the cylinder's radius.
The cylinder's height is 18 units
To locate:
Area of contact
Having said that,
Cylinder surface area = 2r(h + r)
replacing the necessary values,
Surface area is equal to
2 x 22 /7 x 3 × 3( Plus 4)
Surface area equals 264/7 (7)
Surface area equals 1848/7
264 cm2 is the surface area.
The cylinder's surface area is 264 cm2 (about).
To learn more about surface area, refer to:
#SPJ2
Answer:
the height is 0.6367 so the surface area is 68.55
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it takes 1 gallon of diesel 1 fuel for a cruise ship to trarel 6 inches how many gallons will it take for the cruise ship to travel 1 mile
Answers
Answer:
the gcf if 12xy^2
Step-by-step explanation:
12xy^2 goes into all three terms.
hope this helps
mark brainliest?
Number of Books Read in a Year:
Number of Books Read in a Year:
Person Books
Lauren 40
40
40
Henry 70
70
70
Jamar 10
10
10
For every books Jamar read, Lauren read books.
Answers
Answer:
Step-by-step explanation:
To express the quantities given in ratio language, we need to determine the ratio between the number of books read by each person.
Lauren: For every 10 books Jamar read, Lauren read 40 books. This can be expressed as a ratio of 40:10, which simplifies to 4:1.
Henry: For every 10 books Jamar read, Henry read 70 books. This can be expressed as a ratio of 70:10, which simplifies to 7:1.
Jamar: Since Jamar is the reference point for the ratios, the ratio for Jamar will always be 1:1.
So, the ratios for the number of books read in a year are:
Lauren: 4:1
Henry: 7:1
Jamar: 1:1
These ratios represent the relative quantities of books read by each person in a year, simplifying the comparison between their reading habits.
Answers
You need to use synthetic division to come up with an expression for a and b:
(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...
coefficients = 1 for X^3; A for X^2; B for X^1; and 3
-2 | 1 A B 3
-2 -2(A-2) 4(A-2)-2B
1 (A-2) -2(A-2)+B 4(A-2)-2B + 3
Remainder = 7
So...
4(A-2)-2B + 3 = 7
4 * (A - 2) - 2B + 3 = 7
4A - 8 - 2B = 4
4A - 2B = 12
2A - B = 6
Proved
-------------------------------------------------------------------------------------------------------------------
Part II - Second Synthetic Division
We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1
1 | 1 A B 3
1 (A+1) A+B+1
1 (A+1) A+B+1 A+B+4
Remainder = 4
So...
A + B + 4 = 4
A + B = 0
A = -B
-------------------------------------------------------------------------------------------------------------------
Part III - Solving for A and B with our two simultaneous equations
We know that A = -B and we also know that 2A - B = 6
Since we know that A is equal to -B We can substitute in A for -B, to get:
2A - B = 6
Therefore...
2A + A = 6
3A = 6
A = 2
Again, as we know that A = -B, and as we have found that A = 2, we can see:
A = -B
Therefore...
2 = -B
B = -2
So our final answer is A = 2, B = -2
Hopefully this answer is more useful than the last one, and isn't so confusing!
10ab -cd
Please I NEED HELP
Answers
Answer: -112
Step-by-step explanation:
To answer this question, we need to input all of the values of each variable into the equation. For a we replace it with (-2), b we replace it with 5, c we replace it with 3, and d we replace it with 4.
turns into
Since a number next to another number in parentheses is the same as multiplication, multiply out the numbers next to each other. Let's start with the first half of the equation with
-2 times 5 = -10. -10 times 10 = -100 (remember that a negative times a positive equals a negative).
For the second half of the equation, multiply 3 by 4.
We can now replace the original values with their distributed ones, and then subtract.
Answers
1 + sin² t / cos² t = 1 / cos² t
( This is because we know that tan x = sin x / cos x and csc x = 1 / cos x )
Then we will multiply both sides of an equation by cos² t
1 * cos² t + sin² t * cos² t / cos² t = 1
cos² t + sin² t = 1 ( and we know that it is the identity - true )
2 ) 1 + cot ² t = csc² t
1 + cos² t / sin² t = 1 / sin² t / · sin² t ( multiply both sides by sin² t )
sin² t + cos² t = 1 ( true )
interest rate of 10%, compounded continuously? (Round your answer to the
nearest year)
Using equation A=Pe^rt
^=exponent
Answers
20000 = 10000e^0.1t > 10% = 0.1
2 = e^0.1t
log 2 = log e^0.1t > log to the base e
log 2 = 0.1t * 1 log e to the base e =1
0.6931 = 0.1t
t = 6.931
= 7 years