Mathematics High School

What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.

Answers

Answer 1

The solution is: the surface area of the cylinder is 301.44 km².

Here, we have,

from the given diagram, we get,

For surface area of a cylinder:

A = 2(π) × (radius) × (height) + 2(π)×(radius squared)

For the first half of that equation:

2(π) × (radius) × (height)

2 × (3.14) × (4) × (8)

= 200.96 km²

Now the second half of that equation, the area of the circle ends:

2(π)×(radius squared)

= 2 × (3.14) × (4) × (4)

= 100.48 km²

Add them up:

200.96 km² + 100.48 km² = 301.44 km²

Hence, The solution is: the surface area of the cylinder is 301.44 km².

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Related Questions

Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?

Answers

Answer:

9

Step-by-step explanation:

Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determine the number of boards Devon's father will need for a 10 ft by 16 1/2 ft room. Plz plz help and the way to solve it plz!!!

Answers

Answer:

36 boards

Step-by-step explanation:

The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.

Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)

I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.

Therefore he needs 36 boards

Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?

Answers

Answer:

1

Step-by-step explanation:

2 divided by 2

Answer:

1 table

Step-by-step explanation:

2 x 0.5 = 1

Hope this helps!

can anyone help me solve this?

Answers

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

[tex]x = \frac{3}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] {x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121[/tex]

24+18a=
help i can not get the answer

Answers

That is the simplest version. Unless you meant 24+18a=0. I assume you meant = 0. So, let’s subtract 24 on both sides. 18a = -24. Then let’s divide by 18 on both sides to get the answer, b = 3/4. Unless you didn’t mean the 0 there, the sneers is in simplest form then.

Write equation for the graph

Answers

Answer:

y = -4x + 4

Step-by-step explanation:

slope formula: y = mx + b

b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)

use change in y/change in x

we already have 2 points

(0,4)

(-1,8)

change in x: -1

change in y: 4

4/-1

slope: -4

Write an equation of the line that passes through (-6,0) and $(0,-24)

Answers

Answer:

-4

Step-by-step explanation:

Y2 = -24 and Y1 = 0

X2 = 0 and X1 = -6

Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4

y= -4x + c

y + 4x= c

Seven less than one-third a number is greater than six more than one-fourth the
number.

Answers

Answer:

 

The number is 60

Step-by-step explanation:

Solve the slope for this table.

Answers

Answer:

-1/3

Step-by-step explanation:

as x increases by 3, y decreases by 1, so the slope is y/x= -1/3

Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?

Answers

I think the answer is 4 because you add the 10 and 2 and you get 12 and then divide that by how many hens there are (3). The answer is 4

help lol

The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.

Answers

The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.

What is FOIL method?

FOIL is the standard method of multiplying two binomials.

The word FOIL is an acronym for the four terms of the product:

First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)

We try to explain this using an example.

[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]

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mr johnson borrowed $750 for 1 year. he has to pay 6% simple interest. how much interest will he pay?

Answers

Answer:

795$

Step-by-step explanation:

750 x 0.06 = 45

750 + 45 = 795

If Rebecca Picked 20 apples and gave away 10 and got 30 more back. How many does she have now?

Answers

40

If she picked 20 apples and gave away 10, she would have 10 apples. But if she got 30 more apples, she would have 40 apples

Hope this helps!!! If so please give brainliest

Maki~

Answer:

40 apples

Step-by-step explanation:

20 apples-10 apples+30 apples=

10 apples+30 apples=40 apples

5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2​

Answers

1.2, 1.23 , 2.31, 3.2

Item 3 Solve. 7 2/5=2/3x−4 1/2 Enter your answer as a mixed number in simplest form in the box.

Answers

7 2/5 = 2/3x - 4 1/2

Add 4 1/2

11 9/10 = 2/3x

Multiply by 3/2

17 17/20 = x

The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

7 ²/₅ = (2/3) x - 4 ¹/₂

Simplify the expression,

37/5 = (2/3)x - 9/2

37/5 + 9/2 = (2/3)x

(74 + 45) / 10 = (2/3)x

119 / 10 = (2/3)x

357/20 = x

x = 357 / 20

x = 17.85

The simplest form for the value of x, of the given expression, is 357 / 20.

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How do you find function f for piecewise function.

Answers

Answer:

The f(x) is equal to whatever is on the right side of the piecewise functions, as long as the conditions for x are met.

Step-by-step explanation:

An example has been attached

-- Gage Millar, Algebra 1/2 tutor

A diver descended 21.83 feet in 5.9 minutes. What was the diver's average change in eleration per minute?​

Answers

3.7 feet per minute

how many times does 15 go into 142 please no links thank you 71 points

Answers

Answer: 9 times

Explanation

I need help on two questions here’s the first one!



Antawn wrote a decimal. The value of the 8 in Antawn’s decimal is equal to 8 x 1/10. Which of the following numbers could be Antawn’s decimal?

A. 86.05
B. 68.05
C. 60.85
D. 60.58

Here’s the second question!

Brooklyn rode her bike a total of 75.8 miles in 3 days. She rode 25.2 miles on Friday and 16.9 miles on Saturday. How many miles does she ride her bike on Sunday?

A. 33.7
B. 34.7
C. 42.1
D. 117.9

Answers

Answer:

these are what I ythink the answers are

1) C

2)A

For 1. the answer is B

help please
denominator only

Answers

Answer:

2+3=5 3-5=2

Step-by-step explanation:

that's the answer

help i don’t get it

Answers

Answer:

$75.3

Step-by-step explanation:

(7.80x7)+(6.90x3)

=54.6+20.7

=$75.3

Find the distance between the points (

–

9.5,4.1) and (2.7,4.1).

Answers

Answer:

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}[/tex]

[tex]d=\sqrt{(4.1-4.1)^{2}+(2.7-9.5)^{2}}=\sqrt{(-6.8)^{2}} = 6.8[/tex]  

Note that distance is always positive

Find the distance between the points (13, 20) and (18, 8).
13
7
11

Answers

Answer:  13

Step-by-step explanation:

See attached graph.

A third point (18,20) may be added to the two given points to form a right triangle with sides 5 and 12.  The distance, x, between the original two points is given by x^2 = 5^2 + 12^2

x^2 = 25 + 144

X^2 = 169

x = 13

the diameter of an iron ball used in putting the hot is 12cm the density of the iron is 7.89/cm3 calculate the mass of the ball in kg​

Answers

Answer:

Step-by-step explanation:

radius r of iron ball r=12/2=6 cm

volume of iron ball=4/3  πr³

=4/3π×6³

=288 π cm³

≈288×3.14

=904.32 cm³

density=7.89gm /cm³(unit not mentioned)

mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg

288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)

The sum of two numbers is x . If one of the numbers is 12, what is the other?

Answers

Answer:

x - 12

Step-by-step explanation:

Given

12 + ? = x ( subtract 12 from both sides )

? = x - 12

The other number is x - 12

Twelve football teams are playing in a league. Each team played each of the other teams exactly once. How many matches were played in the league? *
1 point
a. 72
b. 66
c. 11
d. 132

Answers

Each team will play with 11 other teams. Hence each team plays 11 games. Hence a total of 11*12 =132 games but since each game involves two teams divide 132/2 = 66 so B

what could be the value of x in the equation x/2+ 15 =64

Answers

Answer:

x = 98

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] + 15 = 64 ( subtract 15 from both sides )

[tex]\frac{x}{2}[/tex] = 49 ( multiply both sides by 2 to clear the fraction )

x = 98

What equation is graphed in this figure?

· y-4= -1/3(x+2)

· y-3= -1/3(x+1)

· y+2= -3(x-1)

· y-5=3(x-1)​

Answers

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?

Answers

£3880 is the answer after two years the amount will be 4000£ because 2000 x 2 =4000 and if it pays compound interest you would have to take 120 out of 4000 because 3% of 2000 is 60 so 60x2=120 4000-120=3880
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