Question

A cylinder with radius r and height 2r + 4 contains a cube with edge length r√(2), as shown. What fraction of the cylinder's volume is taken up by the cube? Write your answer in simplified form.

Answer 1

so 1st show the figure? :P

Answer 2

Do you need it? @luckythebest

Answer 3

or wait not really.

volume of cylinder = Pi x r^2 x h

=> Pi x r^2 x (2r+4) cm3.

Side of cube = r x root 2

volume = s^3 = r^3 x (root 2)^3

=> r^3 x 2 x root 2 => \[2r^3\sqrt{2}\] cm3

Answer 4

% of volume taken =

\[\frac{ 2r^3\sqrt{2} }{ \Pi . r^2 . 2(r+2) }\]

Answer 5

Here is the pic anyways:

Answer 6

= \[=> \frac{ r \sqrt{2} }{ \Pi. (r+2) } x 100 \]

Answer 7

I think this is a rational function or expression, which have equations of the form of f(x) = polynomial/polynomial. The graph of a rational function may have vertical and horizontal asymptotes.

Answer 8

I didn't understand what you did that much.

Answer 9

first find the volume of cylinder.. can you do that?

Answer 10

Okay I will move on to another. Can you help me with this one?

In a bike race, a rider covers a 5-mi flat stretch of road at a speed of s mi/h. She then doubles her speed down a hill 1 mi long. Finally, she reduces her downhill speed by 12 mi/h as she rides the last 3 mi of the race. what functions gives the time t it takes the rider to finish the reace in terms of ?


and no.

Answer 11

Did @luckythebest do it wrong @nubeer?

Answer 12

no he did fine..

Answer 13

Can you help me? @nubeer

Answer 14

Hello? @nubeer

Answer 15

umm sorry i thought @luckythebest was helping u here..

Answer 16

time = distance * speed..
now we look at data.
first 5 miles with s speed
t1 = 5s
then double speed for 1 mile
t2 = 2s
then speed reduced by 12 afor 3 miles
t3= (2s-12) * 3
now add all t's

Answer 17

@Mama123 ..

Answer 18

how? @nubeer

Answer 19

can you help or not? @luckythebest

Answer 20

don't u know how to do addition.

Answer 21

yes. is this right?: t^3 + 42 = S. @nubeer

Answer 22

how did u got this?

Answer 23

tell me if it is right or wrong first. then i will tell you how i got it.

Answer 24

well i dont think its right thats why asking

Answer 25

i only solved for s. thats what i thought you meant. i solved for s using this: t3= (2s-12) * 3

Answer 26

its multiply with 3 not tthe power.

Answer 27

show me your work, because you just confused me.

Answer 28

multiply 3 with 2s then mltiply it with -12

Answer 29

is it, t = 6s - 36?

Answer 30

yes

Answer 31

thats the answer?

Answer 32

no .. it's t3..
u have to add t1,t2,t3

Answer 33

so t3 = 6s - 36? and you have to add these three together?: 5s + 2s + 6s - 36 =
7s + 6s - 36 = 1s - 36

Answer 34

i mean 14s - 36.

Answer 35

yeah..

Answer 36

so 14s - 36 is the answer? or is it, t = 14s - 36?

Answer 37

its t=

Answer 38

can you help me with just one more problem?

Answer 39

depends on the question

Answer 40

A restaurant has 45 tables. Each table seats 4 people. The manager has 4 employees to prepare the tables. The chart shows how fast each employee works. Use this information answer the following questions.

A. In order to get the tables ready in the least amount of time, which two employees should the manager ask to fold napkins? Which two employees should the manager ask to set the tables?

B. If everyone starts working at the same time, how quickly can the employees get the tables ready for dinner? The first pair of employees to finish their job should help the other pair to finish the tables. Explain the answer.

Answer 41

lol way too long to solve.. sorry i will be going now..

Answer 42

but its easier than the previous question, i just need a little help.

Answer 43

well then what exactly u need little help with/

Answer 44

Just A and B. Read it. It's easy for you.

Answer 45

I just need help with Parts A and B only. Please?

Answer 46

u need to take pic again because i see the picture inverted here

Answer 47

stacie and nick should do the napkins and the other 2 should do the table.

Answer 48

Okay, thanks. Can you help me with part B please? @nubeer