A cylindrical container closed of both end has a radius of 7cm and height of 6cm A.)find the total surface area of the container B.) find the volume of the container

Answers

Answer 1

Answer:

Step-by-step explanation:

Surface:

surface area = 2 ends + side

The ends are both a circle and they are identical.

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

then  [tex]\pi[/tex][tex]7^{2}[/tex] = 153.93804 [tex]cm^{2}[/tex]

since there are two ends multiply the above by 2

2*153.93804 =307.87608 [tex]cm^{2}[/tex]

the side is the length * height

length = perimeter of the circle , the perimeter of a circle is also the circumference.   circ = 2[tex]\pi[/tex]r

circ = 2*[tex]\pi[/tex]*7 = 53.407075

surface area of the side = 6* 53.407075=320.44245

add the two surfaces areas together :)

total surface area = 320.44245 + 307.87608 = 628.3185307 [tex]cm^{2}[/tex]

Volume:

volume is the area of the end times the height

volume = circle area * height

volume = 153.93804 * 6

volume = 923.62824 [tex]cm^{3}[/tex]


Related Questions

which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB

Answers

Answer:

A, B, C, E.

Step-by-step explanation:

.

Can somebody help me please?!!

Answers

Answer:

Step-by-step explanation:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)​

Answers

Answer: 69, -69

Step-by-step explanation:

it is easy buddy not lies

Solve for 0 or x, round to the nearest tenth.

Answers

Answer:

theta = 44.4 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig formulas

cos theta = opposite/ hypotenuse

cos theta = 15/21

Take the inverse of each side

cos^ -1 (cos theta) = cos ^-1 (15/21)

theta =44.4153086

theta = 44.4 degrees

If f(x) = x+1 and g(x) =x^2, then gf(2) =

Answers

Answer:

g(f(2)) = 9

Step-by-step explanation:

Evaluate f(2) and substitute the value obtained into g(x)

f(2) = 2 + 1 = 3 , then

g(3) = 3² = 9

Answer:

9

Step-by-step explanation:

f(x)=x+1........(i)

g(x)= x^2......( ii ).

gf(2)........(III)

substitute f( 2) to ......(I)

f(2)=2+1

f(2)=3

gx=gf(2)

gf(2)= 3^2

=9

2x+y=8
x+y=4
Where do they intersect at?

Answers

Answer:

[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

Answers

Answer:

0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected

Step-by-step explanation:

For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

88 out of 100 are good:

This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]

Find the probability of getting two good coils when two coils are randomly selected.

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]

0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected

If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?

Answers

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]

as our answer

Hello pls help
Find the volume of this sphere.
Use 3 for 7T.
2 ft
V~ [?]ft
V = 3

Answers

Answer:

volume of the sphere=4/3πr³

=4/3×3×2³

=32 feet³

Answer:

32 ft³

Step-by-step explanation:

Hi there!

[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius

Plug in the given radius, 2 ft

[tex]V=\frac{4}{3} \pi (2)^3[/tex]

Plug in the given value of π, 3

[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]

Therefore, the volume of the sphere is 32 ft³.

I hope this helps!

Squares of Binomials
Please Help

Answers

16x4=64; so we need two numbers that add up to 16 and their product should be 64. So x=8

Can someone help with this please & thank you It’s due tomorrow

Answers

Answer:

[11] x = 3

[12] x = 37

[13] x = 1.2

[14] x = 62

There are 25 employees in a office.22 have cell phones 19 have cars, and 2 have niether. How many employees have both.

Answers

Answer:

18

Step-by-step explanation:

Let the number of employees with both cell and car be b. Using a Venn diagram shown above,

19 + 22 - b + 2 = 25

43 - b = 25

b = 18

At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2


pahelp naman po :<

Answers

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

total energy, E =?Potential energy, PE =?Kinetic energy, KE =?

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J

1+1+1+5+1+1+4+5+10+1LL pop

Answers

Answer:

The answer should be 30. I don’t know if those letters are apart of it but it’s 30.

For 12-15, find the missing measures

Answers

Answer:

12. d= 14, C=14π, A=49π

13. r= 13, d=26, A=169π

14. r=9, C=18π, A=81π

15. r=10, d=20, C=20π

Step-by-step explanation:

0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]

Answers

Answer:

0.21

Step-by-step explanation:

The given expression is :

[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]

We need to solve it.

We know that,

[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]

So,

[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]

or

[tex]=\dfrac{21}{100}[/tex]

So, the value of the given expression is equal to 0.21.

Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.

Answers

Answer:

25 divided by 5 equals 5

it cost 5 dollars per package

Hope This Helps!!!

Apparently I'm supposed to do one at a time so here we go again

Answers

A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes

-10ab(13c) what is the answer

Answers

Answer:

Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex]  More

Find each measure

Please help me

Answers

Answer:

11:90

12: 90

13: 90

14:90

15:180

16: 135

17:225

Step-by-step explanation:

I don't know if this is entirely true but I hope it helps

A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train

Answers

Answer:

48km hr this is the answer in your question.

Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]

Answers

its speed of projection is 20 ms^(-1)

Answer:

Solution given:

maximum range=40m

u²sin90°/g=40

u²*sin90°/10=40

u²=40*10

u=[tex]\sqrt{400}=20m/s[/tex]


Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate

Answers

Answer:

130

Step-by-step explanation:

Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?

Answers

Answer:

speed=distance / time

speed=(4/3) / (1/10)

speed=13.33miles per hour

How do you calculate 3x-9y?

Answers

Answer: 3(x-3y)

Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)

If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a ​

Answers

Hello,

[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]

If
R = (5+T)P/3
then what is p?

Answers

Answer:

Step-by-step explanation:

R = (5+T)P/3

3R = (5+T)P

3R/ (5+T) = P

[tex]P = \frac{3R}{(5+T) }[/tex]

Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!

Answers

Answer:

the answer of the above question is -1.2

Let f be defined as shown. What is f^-1(6)

Answers

Hello,

[tex]f^{-1}(6)=5[/tex]

Round 7874 to the nearest 100

Answers

Seven thousand eight hundred seventy four. You would eight to nine so 7900 would now be your answer.

Answer:

7900 is the round off to the nearest hundred

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