Question

Estimate the volume of material in a cylindrical shell with height 30 in., radius 2 in., and shell thickness 0.5 in.

im suppose to use linear approximation i think.

Answer 1

pi r^2 *h. use the radius minus the shell thickness. (if it has a bottom with the same thickness subtract it from there as well. so, either pi(1.5^2)*30 or pi(1.5^2)*25.5

Answer 2

if theres a top subtract another .5 from the height.

Answer 3

so i got pi(4)30 - (pi30(1.5^2)) but it is saying that is wrong

Answer 4

pi (4?) 1.5^2 does not equal 4.

Answer 5

2^2

Answer 6

you have to subtract the shell thickness from the radius.

Answer 7

read my complete first answer and you will see .

Answer 8

ya i did but wouldent the total volume be = to pi(4)30 then you take that - the other part so it would be pi30(1.5^2)

Answer 9

yup. and if it has a bottom and/or a top, you have to subtract the shell thickness from the height as well.

Answer 10

so pi(2^2)*30 - pi (1.5^2)*29

Answer 11

hummm its not talking it
it makes sense to me though

Answer 12

its saying find dV

Answer 13

that gives you the volume of the total minus volume of inside.

Answer 14

does it want whats in the shell or inside the container? you have 2 answers then. either the pi (1.5^2)*29 is your answer or the pi(2^2)*30 - pi (1.5^2)*29 is your answer

Answer 15

idk there might be an error with the key because this is what i was getting. the only problem i see is the fact that it says to estimate the volume and that is giving us the exact volume

Answer 16

perhaps god luck then. sorry the book doesnt like the exact answer.

Answer 17

ya anyway ty