Question

I any one willing to help me step by step on this project i have to do? I need to do it today

Answer 1

Sure

Answer 2

okay. one second i will go get it

Answer 3

got it

Answer 4

The duffy's have a gran bin on their farm. the bin which is made in the shape of a cylinder and a cone, has the dimesions of 1.7m going down the top part of the bin and it is 4.68m long and bottom is 2.92m half way across. What is the maximum volume of this bin?

Answer 5

I think the first thing I would do would be to draw out a figure. Just to visualize this

Answer 6

Yeah, please draw a picture, hard to help without one.

Answer 7

this is what I imagine:

Answer 8

Does this look like the image if it is that you have an image on your problem, Or would you say this looks right according to what you have given?

Answer 9

thats what it looks like

Answer 10

I need to find the maximum volume.

Answer 11

First step: split it up into the cylinder and the cone and find the volumes of them separately, using the formulas for volume of a cylinder and volume of a cone.

Answer 12

Couldn't have said it better

Answer 13

What are the formulas for the cylinder and the cone?

Answer 14

The volume of a cylinder is Base X Height, where the base is the area of a circle
So: for cylinder: pi*r^2*h

Answer 15

@nbouscal do you know the volume for a cone? I don't remember..

Answer 16

A cone is 1/3 of a cylinder

Answer 17

i dont get it. I am sorry i just so bad and finding areas in object like these ones

Answer 18

Lets work with the cylinder first

Answer 19

imagine a soft drink can; the base would be either the top or bottom view of the cylinder. So it be a cirlce

Answer 20

So the base would be the area of a circle. And area of a circle is pi*r^2 could you find the area of it?

Answer 21

yes r would be 2.92?

Answer 22

right! :)

Answer 23

i find that first?

Answer 24

yes, you'll have to know the area of the circle first which will be the base of the cylinder

Answer 25

i got. now what?

Answer 26

well that is your base of the cylinder. Now, we had said that the volume of a cylinder was its base X height

Answer 27

I'll be right back, make be off for like 10 minutes or so, going to help my dad move something. sorry

Answer 28

thats fine

Answer 29

I'm back: how's it going?

Answer 30

were you able to find the volume of the cylinder?

Answer 31

Ok, I'm just going to tell you the steps now, My mother is calling me to go eat. jaja

well once you multiply the base and the height, you will get the volume of the cylinder. Now you have to find the volume of the cone

and to do that we had said that the volume of the cone was 1/3 base X height.

if you can notice, the base of the cone and the cylinder have the same dimensions so all you'll do is multiply the base you got for the cylinder X the height for your cone and then divide by 3.

Then just add up both volumes. and that is the maximum.

I'll be back after I eat if you have any questions.

Answer 32

I'm back again, are you still there?