Question

Right circular cone the height= diameter when height = 2.98 cm find the volume of the cone (by approximation using mean value theorem )

Answer 1

tell me how i start or give me hints and i will complete

Answer 2

lol uhm circle is pie radius squared

Answer 3

hold on

Answer 4

@kadkins15
i know the volume of cone \[V=\frac{ 1 }{ 3 }\pi r ^{2}h\]

Answer 5

okay well i k that h is 2.98 pie is 3.14 and your radius^3 is what ur trying to find

Answer 6

trying to find the volume by approximation using mean value theorem

Answer 7

@ganeshie8 can u plz help me with this

Answer 8

v=1/2(3.14)r^3(2.8)

Answer 9

i meant 1/2(3.14)

Answer 10

1/3(3.14

Answer 11

i know it's easy to find it using calculator by i want to find it using approximation by mean value theorem

Answer 12

give me a second ill b rite bck

Answer 13

http://www.sosmath.com/calculus/diff/der11/der11.html Does this help at all? XD

Answer 14

@Fantalux i know everything about MVT it's about the question , no it doesn't help thanks anyway lol

Answer 15

is this calculus or what??

Answer 16

ikr

Answer 17

no the teacher just game the question i don't know from where did he bring it

Answer 18

gave *

Answer 19

What does this mean? As usual, let us utilize an example to grasp the concept. Visualize (or graph) the function f(x)=x^{3}. Choose an interval (anything will work), but for the sake of simplicity, [0,2]. Draw a line going from point (0,0) to (2,8). Between the points x = 0 and x = 2 exists a number x = c, where the derivative of f at point c is equal to the slope of the line you drew.

Solution:

1: Using the definition of the mean value theorem

{f(b)-f(a) \over b-a}
insert values. Our chosen interval is [0,2]. So, we have

{\frac {f(2)-f(0)}{2-0}}={\frac {8}{2}}=4
2: By the definition of the mean value theorem, we know that somewhere in the interval exists a point that has the same slope as that point. Thus, let us take the derivative to find this point x = c.

{\frac {dy}{dx}}=3x^{2}
Now, we know that the slope of the point is 4. So, the derivative at this point c is 4. Thus, 4=3x^{2}. The square root of 4/3 is the point.

Answer 20

does that help at all

Answer 21

volume = 1/3 ((0.5h)^2 pi))*h

Answer 22

@ikram002p i know how to find the area of cone but i want to use approximation using mean value theorem

Answer 23

lol i knw .. just find a function of volume then use mean value thm

Answer 24

ok :)

Answer 25

http://books.google.com/books?id=jBD0yTh64wAC&pg=PA1059&lpg=PA1059&dq=by+approximation+using+mean+value+theorem+for+cone+calculus&source=bl&ots=vL3QK8oWZ3&sig=PbrVqxsGsKroDt_c9jkceuhmCSU&hl=en&sa=X&ei=vaD0UoHXKo7OyAH6k4HQCw&ved=0CEgQ6AEwBQ#v=onepage&q=by%20approximation%20using%20mean%20value%20theorem%20for%20cone%20calculus&f=false

Answer 26

hope that helps i gotta go bro but yeahh

Answer 27

thanks bro

Answer 28

so u have
h=2.98 .... h'=3
v=pi/12 h^3
v'=pi/4 h^2
\[f(h)\approx f(h')+f'(h')(h-h')\]

Answer 29

aha thanks @ikram002p

Answer 30

i've made a mistake in the value of h' when i solved it first time lol

Answer 31

so its good nw ha ?!

Answer 32

yup thank you so much :)

Answer 33

np :)