Question

Help please someone~~ The outline of a circularly symmetric bottle has a height of 1 metre. The outline fits the curve x^2=(ky(1-y)^4+0.1)^2 where x and y are distances in metres, k>0 and 0 less than or equal to x less than or equal to 1

state the integral used to determine the volume of the bottle

Find k when the volume = 100 litres ( 1 litre = 0.001 m^3 )

Answer 1

o.. dont i need a pi?

Answer 2

i thought it has something to do with volume of revolution

Answer 3

then it asks for find k i integrate from what to what?

Answer 4

V=pi\[\int\limits_{a}^{b?}x^2dy\]

Answer 5

v=volume so a=0 and b=1 get that

Answer 6

yeap i know that

Answer 7

so when volume =100 i solve for k... but i got a weird answer

Answer 8

the second question asks me to evaluate this integral interms of k

Answer 9

when i evaluated it using calculator its like a whole bunch of long numbers and its a quadratic function

Answer 10

now try to multiply the right hand side of ur equation u'll get ...x^2=k(y^5-4y^4+6y^3-4y2+y) this is what u need to integrate in order to find k are good with this?

Answer 11

x^2=(ky(1-y)^4+0.1)^2
why do i need multiply my right hand side equation? multiply with what...? there is alrdy a k in there mind if u could show full working out? thx.. if u can

Answer 12

okay! i made a mistake with my multiplication. let us work out what is in the first bracket 0.1=0 so will get x^2=(ky(1-y)^4)^2 get that

Answer 13

how is 0.1 equals 0 ..... ?

Answer 14

is that zero or the letter o?

Answer 15

its zero lol

Answer 16

hahaha so zero times any number is isn't it zero? lol

Answer 17

yea... but why is 0.1 = 0..? it doesnt make sense in thefirst place

Answer 18

oh! is it 0,1(comma) or 0.1(times)?

Answer 19

what...?
x^2=(ky(1-y)^4+0.1)^2
its + 0.1

Answer 20

i'm confused about thsat last expression is it 0comma 1 or 0 times 1?

Answer 21

0.1 its 0 point 1

Answer 22

if u have a smart calculator multiply it out and give me the expression without the brackets so that we can start from that

Answer 23

dnt have one lol..

Answer 24

any way God granted us a best tool our heads let use them and find what that is okay?

Answer 25

haha ok..

Answer 26

did u get it?

Answer 27

nope..

Answer 28

let do it this way x2=[ky(1-y)4 +0.1] [ky(1-y)4 + o,1] get this ?

Answer 29

wow after multiplying out i found :....
x^2=k^2[y^10-8y^9+28y^8-52y^7+72y^6-64y^5+40y^4-16y^3+3y^2] +0.01

Answer 30

K=0,11183 is this the correct answer