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mixas84 [53]
3 years ago
8

Label the net for the cylinder. Then find the surface area of the cylinder. Give your answer in term of π and as a decimal numbe

r rounded to the nearest tenth.
Question 2
Surface Area:
π≈
ft2
DO NOT PUT RANDOM ANSWERS!!!!!!!!!

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
To find the surface area of a cylinder, add the areas of the two circles and the rectangular piece connecting them

area of circle: A = pi(r)^2
A = pi(7)^2
A = 49pi

area of rectangle: A = length X width
the length is the circumference of the circle
C = 2pi(r)
C = 2pi(7)
C = 14pi
multiply 14 pi by the width 5
area of rectangle: 70pi

add the areas of the two circles and the rectangle:
49pi + 49pi + 70pi = 168pi

ANSWER: 168pi
for the decimal if you use pi on the calculator then the answer is 527.8
but if u multiply by 3.14 the answer is 527.5

hope this helps!
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masya89 [10]

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Step-by-step explanation: Theirs your help!

5 0
3 years ago
Read 2 more answers
Which model does the graph represent?
larisa86 [58]

Answer:

  C

Step-by-step explanation:

A models an exponentially increasing function.

B models an exponentially decreasing function.

C models a "bell" curve, similar to the one shown.

D models a "logistic" function, an s-shaped curve that smoothly transitions between two horizontal asymptotes.

4 0
3 years ago
Read 2 more answers
Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to t
lana [24]

The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

lb + 2lh + 2bh = 40

Now, the length is equal to the breadth.

Let them be x in

Hence,

x² + 2xh + 2xh = 40

or, 4xh = 40 - x²

or, h = 10/x - x/4

Let f(x) = volume of the box

= lbh

Hence,

f(x) = x²(10/x - x/4)

= 10x - x³/4

differentiating with respect to x and equating it to 0 gives us

f'(x) = 10 - 3x²/4 = 0

or, 3x²/4 = 10

or, x² = 40/3

Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

f"(2√(10/3))

f"(x) = -3x/2

hence,

f"(2√(10/3)) = -3√(10/3)

Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

= 10 X 2√(10/3)  -  [2√(10/3)]³/4

= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

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Complete Question

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3 0
1 year ago
X^2 - 2x = 15 how do I solve this quadratic method?<br>I am stuck on it.... please help<br>​
Anarel [89]

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides

x² - 2x = 15

- 15         -15

x² - 2x - 15 = 0

now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2

because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.

we can use 3 and -5 as factors and test it out. we put x in front because we have an x²

(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out

FOIL stands for: First, Outside, Inside, and Last terms

F: (x - 5)(x + 3) = x²

O: (x - 5)(x + 3) = -3x

I: (x - 5)(x + 3) = 5x

L: (x - 5)(x + 3) = -15

x² + 3x - 5x - 15 < subtract 3x from 5x

x² - 2x - 15

this checks out, so our answer is (x - 5)(x + 3)

6 0
3 years ago
Read 2 more answers
B is the midpoint of AC Find AB, BC and AC.
kramer

Step-by-step explanation:

Since B is the midpoint of AC. So,

AB = BC

12x - 12 = 4x + 28

12x - 4x = 28 + 12

8x = 40

x = 40/8

x = 5

Now,

AB = BC = 4(5) + 28

= 20 + 28

= 48 cm

Now

AC = AB + BC

AC = 48 + 48

AC = 96 cm

8 0
3 years ago
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