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Ghella [55]
3 years ago
13

A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?

Mathematics
2 answers:
Georgia [21]3 years ago
8 0

we know that

surface area of the cylinder=2*{area of the base}+perimeter of base*height

area of the base=pi*r²

r=40 ft

Area of base=pi*40²

Area of the base=1600*pi ft²


Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

Perimeter of the base=80*pi ft


surface area of the cylinder=2*1600*pi+80*pi*17

surface area=4560*pi ft²


therefore

the answer is the option

4560π ft2

mylen [45]3 years ago
3 0

Answer:

It is C.)  4560π ft2

Step-by-step explanation:

Because i took the test and 1/1 point means i got it right

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In a survey, 15 high school students said they could drive
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No

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Answer:

x=-1\\y=-1

Step-by-step explanation:

5x+5y=-10\\3x-7y=4

Let's solve the first equation for either x or y. I'll do it for x.

5x+5y=-10

Begin by subtracting 5y.

5x=-5y-10

Now divide by 5.

x=\frac{-5y}{5}-\frac{10}{5}

Simplify:

x=-y-2

Now substitute x in the second equation for this value.

3x-7y=4\\3(-y-2)-7y=4

Distribute;

-3y-6-7y=4

Add 6

-3y-7y=4+6

Combine like terms;

-10y=10

Divide by -10.

y=\frac{10}{-10}\\ y=-1

-----------------------------------------------------------------------------------------------------------

Take this value of y and replace it in the first equation to find the value of x.

5x+5y=-10\\5x+5(-1)=-10\\5x-5=-10\\5x=-10+5\\5x=-5\\x=\frac{-5}{5}\\ x=-1

5 0
3 years ago
There are 800 students in the School of Business Administration. There are four majors in the School: Accounting, Finance, Manag
dezoksy [38]

Answer:

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

Step-by-step explanation:

For this case we can create the following table calculating the percent frequency as:

\% = \frac{X_i}{n}

Where X_i represent the number of students for the i category and n the total sample size.

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

The pie chart is on the figure attached.  We use excel to create it.

5 0
3 years ago
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