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Bad White [126]
2 years ago
13

The radius of the base of a cylinder is 27 cm and its height is 37 cm. Find the surface area of the cylinder in terms of π

Mathematics
2 answers:
Nonamiya [84]2 years ago
7 0
Surface area of a cylinder = 2 x Pi x r^2 + 2 x Pi x r x h

R = 27 cm
H = 37 cm

Take away the Pi seeing as you want to keep it in terms of Pi

2 x 27^2 + 2 x 27 x 37 = 3456 Pi cm^2
Your answer is B
Dvinal [7]2 years ago
3 0

Answer: the surface area of the cylinder in terms of π is 3,456 π cm² (option B ).

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Radius of the base of cylinder r = 27cm  

Height of the cylinder h = 33cm  

Surface area of the Cylinder = Area of two base circles + Area of rolled  

Area of each circle base is π x r². So, the area of two base circles is 2π x r².

Area of the area rolled: 2 x π x r x h  

Replacing the variables with the values given:

Surface area = 2π x r² + 2 x π x r x h  

s = 2 x π x 27² + 2 x π x 27x 37

s = 1,458 π + 1,998 π

s= 3,456 π

In conclusion, the surface area of the cylinder in terms of π is 3,456 π cm²(option B ).

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e-lub [12.9K]
First let's solve the general case for an isosceles triangle of base 2 and height k. If the triangle is drawn so the base is on the x-axis and the apex is on the y-axis, the equation for the line containing the right side is
  y = -k(x-1)
Then a rectangle with x-dimension w will have an area that is the product of this width and the height y = -k((w/2)-1).
  area = w(-k(w/2 -1)) = (-k/2)w² +kw
The derivative of area with respect to w will be zero where the area is a maximum:
  d(area)/dw = 0 = -kw +k
  w = 1 . . . . . . add kw and divide by k
Using the formula for area, we find
  area = 1(-k(1/2-1)) = k/2
This value is 1/2 the total area of the triangle we started with.

If the side lengths of your triangle are 8, √80, and √80, the height will be given by the Pythagorean theorem as
  h = √((√80)² - (1/2·8)²) = √(80-16) = 8
Your triangle's area will be
  triangle area = (1/2)(8)(8) = 32

The maximum area of the inscribed rectangle will be half this value,
  16 square units

4 0
3 years ago
Please help! proof<br><br> Given: FA bisects ∠LFK and ∠LAK<br> Prove: FA bisects ∠LJK
serg [7]

Answer:look at the picture below

Step-by-step explanation:

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7 0
2 years ago
A package being delivered in the mail weighs 1056 ounces. How much does that package weigh in pounds?
Vlad1618 [11]

Answer:

66

Step-by-step explanation:

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5 0
3 years ago
Find the increase in price of a single piece of design, when crafts design price is increased by 45% which makes a buyer to buy
Volgvan

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

<u>Step-by-step explanation:</u>

Let x represent the original price, then

8x(1.45) < $500

x

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

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8 0
3 years ago
Slove for P. 5/7=p+4/7
Sever21 [200]
p= 1/7
Alright, so first, you need to flip the equation.<span><span>It will turn into p+<span>4/7</span></span>=<span>5/7
Next, you want to get the variable by itself so you need to subtract 4/7 from both sides. 5/7-4/7=1/7
p=1/7</span></span>
5 0
3 years ago
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