!!!The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Answers

Answer 1

Answer:

The answer is

27 cm

Step-by-step explanation:

Volume of a cylinder is given by

V = πr²h

where

h is the height

r is the radius

V is the volume

Since we are finding the height

[tex]h = \frac{V}{\pi {r}^{2} } [/tex]

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

[tex]h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} [/tex]

We have the final answer as

27 cm

Hope this helps you


Related Questions

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?

Answers

Given :

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .

In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.

To Find :

How much will it cost to carpet the bedroom.

Solution :

Length of bedroom , l = 5.5 × 3 = 16.5 ft.

Width of bedroom , w = 3.25 × 3 = 9.75 ft.

SO, area of bed room is :

[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]

Now, cost to carpet the bedroom is :

[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]

Hence, this is the required solution.

The value of -31.45/-3.21 is around?

Answers

My calculator says 9.797507788, so you can just round to 9.8

my
Donald can type 240 words in 6 minutes. How long will it
take him to type a 1000-word essay if he types at the
same rate?

Answers

Answer:

25min

Step-by-step explanation:

40 is the unit rate so 40 words per minute so it's 25 because 1000÷(40)*

(the unit rate)*. Sorry if I'm worng.

Would the answer be 250 ?

Answers

It would be 243 because it saids all-together the number if figurines Mike and Alex. 186+57=243
I would round up to 60 and 190 which is about 250. You could also do 185 and 60 but 190 is easier to count.

6th grade math pls help​

Answers

If you’re still confused just tell me and I’ll explain it again

Write each percent as a fraction
170%
120%
220%

Answers

Answer:

Step-by-step explanation:

1.17/10

2.6/5

3.11/5

answers:

170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]

120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]

220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]

hope this helps! best of luck <3

Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?

a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3

Answers

Answer: D

Density= mass/volume

12.9g/8cm3= 1.6 g/cm3


Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?

Answers

Answer:

18 tiles

Step-by-step explanation:

If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:

90 has the prime factors 2x3x3x5

72 has the prime factors 2x2x2x3x3

The prime factors that are common to both are 2, 3 and 3 which multiply together to get:

2x3x3 = 18

The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.

Hope this helped!

Helppppp!!!!!!! Gehjdhdhxjndhzjsvahsj

Answers

Answer:

don't worry bbg I got you give me a moment

If f(x) = 6x and g(x) = 4x+1, find (fog)(x).​

Answers

Answer:

a) 24x+6

Step-by-step explanation:

Solve the equation 4(0.2*-5)=12

Answers

Hey there!

[tex]Answer:\boxed{\text{FALSE}}[/tex]

[tex]Explanation:[/tex]

[tex]4(0.2\times-5)=12[/tex]

This equation is false because the value of 4(0.2 * -5) is not equal to 12.

Hope this helps!

If x*y =
1, then 7 * 28 =

Answers

196 I think hope this helps
I think the answer is 196

0.4x+3=0.2(3x+1)−x someone plz help

Answers

Answer:

x =-3.5

Step-by-step explanation:

0.4x+3=0.2(3x+1)−x

Distribute

.4x +3 = .6x+.2 -x

Combine like tersm

.4x+3 = -.4x+.2

Add .4x to each side

.4x+3 +.4x = -.4x +.2 +.4x

.8x +3 =.2

Subtract 3 from each side

.8x+3-3 = .2-3

.8x = -2.8

Divide each side by .8

.8x/.8 = -2.8 /.8

x =-3.5

Answer:

x=-3.5

Step-by-step explanation:

A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form

Answers

Answer:

y=2x+5

Step-by-step explanation:

The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.

Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;

m=change is y-coordinates/change in x-coordinate

m=Δy/Δx

m=y-3/x--1

2= y-3 / x+1

2(x+1) = y-3

2x +2 =y-3

2x=y-3-2

2x=y-5

y=2x+5 is the equation.

Answer:b

Step-by-step explanation:

A salesman need to sale 63 items to make it monthly go there are 18 selling days left in the month what is the average number of items you need to sell daily to reach his goal?

Answers

Answer:

He needs to sell an average of 3.5 items a day to reach his goal.

Step-by-step explanation:

To find the average he needs to sell, we need to divide the items he needs to sell by the number of days he has left to sell. He has 63 items and needs to sell them within 18 days.

63/18=3.5

He needs to sell an average of 3.5 items a day to reach his goal.

The salesman should sell 3.5 items on a daily average to reach his target when he needs to sell 63 items in 18 selling days.

What is average?

The average is defined as the sum total of observations divided by the total number of observations.

How to solve the question?

In the question, we are informed that a salesman needs to sell 63 items to make it monthly within 18 selling days left in the month.

We are asked the average number of items he should sell daily to reach his goal.

The average number of items per day can be calculated as the ratio of the total number of items left to the total number of days left.

Therefore, the average number of items per day = 63/18 = 3.5.

Learn more about averages at

https://brainly.com/question/20118982

#SPJ2

Find the coordinates of point P that partition AB in the
ratio 1:4.

Please give explanation

Answers

Answer:

(1.6, 0)

Step-by-step explanation:

Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.

Use the formuka below to find the coordinates of point P:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(1, -1) = (x_1, y_1) [/tex]

[tex] B(4, 4) = (x_2, y_2) [/tex]

[tex] m = 1, n = 4 [/tex]

Solve by plugging the above values where necessary as follows:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]

[tex] x = \frac{4 + 4}{5} [/tex]

[tex] x = \frac{8}{5} [/tex]

[tex] x = 1.6 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]

[tex] y = \frac{4 - 4}{5} [/tex]

[tex] y = \frac{0}{5} [/tex]

[tex] y = 0 [/tex]

The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)

Determine whether the given ordered pair is a solution to the system of equations.

Yes or no?

(6,-1)

x-y=3

2x+5y=6

Answers

Answer: No

Solution:

Substitute the values of x & y into the first equation
6 -(-1) = 3
6 + 5 is NOT equal to 3
Therefore we can say this is not true
For this to be true, when substituting the values of x & y, the equation must be true for BOTH equations. Since it’s not true for the first equation it doesn’t matter if it’s true or not for the other equation.

I hope this helps!

The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Answers

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.

[tex]675\pi =\pi (5^2)h[/tex]              [divide both sides by π]

[tex]675 = (5^2)h[/tex]                  [exponent]

[tex]675=25h[/tex]                     [divide both sides by 25]

[tex]h=27[/tex]

Now, we know that the height is 27 cm.

768 pages in 8 days = _____ pages per day

Answers

96 a day your welcome
I think it’s 96 pages per day
(I hope this helps)

uhhhhhhhhhhhhhhhhhh help

Answers

Answer:

x = -1/3

Step-by-step explanation:

x -1/3 = -2/3

Add 1/3 to each side

x -1/3  + 1/3= -2/3+ 1/3

x = -1/3


68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *

Answers

Answer:1933

Step-by-step explanation:

Whats the three numbers between 813 930

Answers

Numbers between 813-930 are 870,880,925

The numbers between 813-930 are 870,880,925.

It is required to find the  three numbers.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

We have to find the  three numbers between 813 to 930.

Numbers between 813-930 are 870,880,925.

Therefore , the numbers between 813-930 are 870,880,925.

Learn more about real number here:

https://brainly.com/question/551408

#SPJ2

-200 + {37}{3}4.5) -200 + 55.5

Answers

Answer:

-294.55

Step-by-step explanation:

-200+ 49.95 -200 +55.5

49.95+55.5-200-200

-294.55

Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]

Answers

The answer is 16 two

find the value of x when lines w and v are parallel.

Answers

Answer: B. 17

Step-by-step explanation:

4x-3 = 65

Add 3 on both sides

4x = 68

Divide by 4 on both sides

x = 17

BOOM!

Answer:

B) 17

Step-by-step explanation:

Which one of these is ordered from greatest to least?


A: -6.5, -4/5, 1/2, 4.25

B: -6.5, 4.25, -4/5, 1/2

C: 4.25, 1/2, -4/5, -6.5

D: 4.25, -4/5, 1/2, -6.5

HELLPPP! ASAPP

Answers

Answer:

the answer would be C :)

3a+8+2ax≥3ax-4a what is a

Answers

Answer:

A=3 I'm 95% sure but if you're not sure then use PEMDAS

P-parentheses

E-exponets

M-multiply

D-divide

A-add

S-subtract

factorize6 + 13mn + 7mn?​

Answers

☽------------❀-------------☾

Hi there!

~

Let's simplify step-by-step.

[tex]6 + 13mn + 7mn[/tex]

Combine Like Terms:

[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

I NEED HELPPPP
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)

Answers

Answer:

Step-by-step explanation:

Income tax = 9.8%

Housing = [tex]\frac{11400}{48900}\times 100[/tex]

              = 23.3%

Food = [tex]\frac{7800}{48900}\times 100[/tex]

         = 16.0%

Clothing = [tex]\frac{900}{48900}\times 100[/tex]

              = 1.8%

Transportation = [tex]\frac{6000}{48900}\times 100[/tex]

                         = 12.3%

Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]

                                       = 29.5%

Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]

                        = 2.5%

Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]

                              = 1.2%

Savings for college = [tex]\frac{600}{48900}\times 100[/tex]

                                = 1.2%

Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]

                                      = 2.5%

Total = 100%                              

Answer:

Income tax = 9.8%

Housing =

             = 23.3%

Food =

        = 16.0%

Clothing =

             = 1.8%

Transportation =

                        = 12.3%

Insurance and medical =

                                      = 29.5%

Entertainment =

                       = 2.5%

Emergency funds =

                             = 1.2%

Savings for college =

                               = 1.2%

Savings for retirement =

                                     = 2.5%

Total = 100%                              

Step-by-step explanation:

Can you please help with this question

Answers

Answer:

all

Step-by-step explanation:

first we can combine 5x and - 2x

5x + -2x = 3x

now we have 3x + 5 > 11

now we can go through all of the numbers to see which numbers make the inequality true

3 yes

3 * 3 = 9

9 + 5 = 14

so all of the numbers make it true

Answer:

d is the right answer

Step-by-step explanation:

3x+5-2x>11

3(3)+5-2(3)>11

8>11

so a is wrong

3(5)+5-2(5)>11

10>11

so b is wrong

3(6)+5-2(6)>11

11>11

 c is wrong bc they equal

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