What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
your answer to the nearest thousandth.

Answers

Answer 1

Answer:

376.991 cm²

Step-by-step explanation:

[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

Derive Surface Area of A Cylinder

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

What Is The Surface Area Of The Cylinder With Height 7 Cm And Radius 5 Cm? Roundyour Answer To The Nearest

Related Questions

14) When simplified, -2(x + 1) - 4(x - 3) is equivalent to

Answers

Answer:

-6x+10

Step-by-step explanation:

-2(x + 1) - 4(x - 3)

Distribute

-2x-2 -4x+12

Combine like terms

-6x+10

Answer:

-6x +10

Step-by-step explanation:

First, open the parenthesis by multiplying the number outside to the terms inside:

-2(x+1) = -2x - 2

-4(x-3) = -4x + 12

then combine the like terms:

-2x - 4x + 12 - 2 = -6x + 10

find three positive consecutive integers such that the product of the smallest and the largest is 26 more than six times the middle integer

Answers

Answer:

8, 9, 10

Step-by-step explanation:

three positive consecutive integers

x, x + 1, x + 2

the product of the smallest and the largest is 26 more than six times the middle integer

x(x + 2) = 6(x + 1) + 26

Expand

x^2 + 2x = 6x + 6 + 26

Combine like terms

x^2 + 2x = 6x + 32

Subtract 6x + 32 from both sides

x^2 - 4x - 32 = 0

Factor

(Alternately use the quadratic formula or complete the sqaure)

(x - 8)(x + 4)

x = {-4, 8}

-4 is extraneous because the integers must be positive

x = 8

x + 1 = 9

x + 2 = 10

8, 9, 10

Answer:

[tex]8,9,10[/tex]

Step-by-step explanation:

We can make this an equation and use the variable n to represent our numbers

[tex]n-1(smallest)[/tex]

[tex]n(middle)[/tex]

[tex]n+1(largest)[/tex]

[tex](n-1)\cdot (n+1)=6n+26[/tex]

[tex]n^2-1 = 6n+26[/tex]

[tex]n^2 - 6n - 27 = 0[/tex]

After we factorize we get

[tex]n=9[/tex]

since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]

brainliest please :)

Please help me with this homework

Answers

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

Determine a series of transformations that would map Figure O onto Figure P. ​

Answers

Answer:

OP question dude..

Step-by-step explanation:

Over Powered

The value of a baseball card can be represented by the equation y=3x+39,where x represents the number of years that Robert has owned the card and y represents the total value,in dollars,of the card.What was the value of the card when Robert originally purchased it?

Answers

Answer:

Im pretty sure it's $39

Step-by-step explanation:

if x=0 it cancels out leaving y=39

what is the answer ?????​

Answers

Answer:

2456≈2500

14725=14700 (to 3sf)

Dilations map lines to lines.
true or false ?

Answers

Answer:

true

Step-by-step explanation:

A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)

Answers

Answer:

#carryonlearning

Step-by-step explanation:

#carryonlearning

What is the value of 8 + z, when z = 5?
0 5
0 3
O 12
O 13

Answers

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

[tex]8+z=?[/tex] when z=5

[tex]8+5=13[/tex]

How many grams are contained in 0.54 moles of calcium?

Answers

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

Read more at; https://brainly.com/question/5397233

Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.

Answers

Answer:

$8

Step-by-step explanation:

60% of 30 is 16.

1/2 of 16 is 8.

He has $8 left.

Help I need help ASAP

Answers

answer:1024
do the brackets first because of bidmas the brackets = 32 and 32x32=1024

A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?

I’ll do 50 points please answer right away !!!!!!!

Answers

Answer:

60

Step-by-step explanation:

I hope this helps

The diameter of the  cylinder is equal to 59.98 units.

Given the following data:

Volume of cylinder = 33,912 [tex]unit^3[/tex]Height of cylinder = 12 units.

To determine the diameter of the  cylinder:

First of all, we would find the radius of the circular base of this cylinder.

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Making r the subject of formula, we have:

[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]

Radius, r = 29.99 units.

For the diameter:

[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]

Diameter = 59.98 units.

Read more: https://brainly.com/question/1908836

What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3

Answers

Answer:

-5

Step-by-step explanation:

Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.

Answers

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

The difference of 7 and the square of a number

Answers

Answer:

7 - [tex]x^{2}[/tex]

Step-by-step explanation:

This is the answer because:

1. "Difference" means subtraction

2. The statement basically is saying, what is 7 subtracted by the square of x

3. That simplifies to 7-x^2

Hope this helps!

Hi there! (:

The difference of means we subtract:

7-f² (let the number be f)

Hope it helps!

~An excited gal

#StayJoyful

[tex]SparklingFlower[/tex]

Please help!! Thank you!! :)

Answers

Answer:

the answer for this equation is -32

3-7(-5)
38
Plug the numbers into the equation and ta da :)

A company claims that their new bottle holds 25% more laundry soap. If their original container help 48 fluid ounces of soap, how much does the new container hold?

Answers

The new container holds 60 fluid ounces of soap

You have 400 euros. What is this amount in US dollars?
Help me pls i will mark the best answer brainlist

Answers

Answer:

452.38 US dollars.

Step-by-step explanation:

I got 452.59 hope this helps

[tex]\bf 2x-4=10[/tex]

Answers

For the answer I got X=7

Answer:

x = 7

Step-by-step explanation:

Add 4 on both sides to get 2x = 14, then divide 2 on both sides to get x = 7.

Hope this helps :)

which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!

Answers

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

Each train car holds 71 passengers. About how many train cars
would be needed to carry 567 people?

Answers

567/71 because passengers/(train cars/passengers) = train cars

71 x 7 = 497 (not enough)

71 x 8 = 568 (enough)

Answer: 8 train cars

Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step

Answers

I think I need to know what the cat weighs first...

In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.

Answers

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Pleeeeeeeeeeaaaaaaaaaaase help

Answers

Answer:

its 100

Step-by-step explanation:

The question is asking what is ∠ABD, you  have to look at when A=0 on the projector, so if you follow along the 0° from A, when it reaches D, the project reads 100°

no guessing here,

you know 80° cannot be correct because this angel is obtuse and not acute

which means greater that 90°

24 marbles were shared equally amongst a group of children. each child received 4 Marbles how many children were in the group?

Answers

Answer:

6

Step-by-step explanation:

24/6=4

6x4=24

6+6=12

6+6=12      12+12=24

Solution:

Given,

No. of marbles =24

No. of marbles each child received=4

No. of children in the group=?

Here,

No. of children in the group = No. of marbles/

No. of marbles

each child received

=24/4

=6

Hence, There were 6 children in the group.

A store had 64 hats on stock on friday. They had 48 left on Saturday. The amount went down by 16. PLS HELP!!!

Answers

Answer:

if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!

Step-by-step explanation:

Percy has a coin collection. He has five pennies for every 33 dimes. If Percy has 1515 pennies what is the total number of coins in his collection?

Answers

Answer:

1515

Step-by-step explanation:

Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer

Answers

Answer:

2.14

Step-by-step explanation:

15 miles ➗ 7 days = 2.14

Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
A 65 ÷ 13
B 65 ÷ 130
C 650 ÷ 130
D 650 ÷ 13

Answers

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

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