Question

Can somone please help me......
Paul wishes to estimate the volume of the trunk of a large tree. To do so he measured the circumference of the trunk at several heights off the ground. These are given in the table.
Find an overestimate of the volume of the tree using something similar to Riemann sums....

*This is similar to Reiman sums but you need to use cylinders instead of rectangles. Remember that the volume of a cyinder is V=pier^2h, Remember also you are given the circumference of the tree.

Answer 1

@electrokid can you help me

Answer 2

right
same as before
consider x = height
and y = area of base
volume = area of base * height

Answer 3

now,
\[c=2\pi r,\qquad A=\pi r^2\\
r={c\over 2\pi},\qquad\implies A=\pi\left(c\over 2\pi\right)^2={c^2\over 4\pi}
\]

Answer 4

how do you find out what c=

Answer 5

c = circumference = given
\[V=\sum_{k=0}^4A_k\cdot h_k\\
V={22\over4\pi}\times0+{18\over4\pi}\times20+\ldots
\]

Answer 6

i missed to square the "c"...

Answer 7

so c=282.743

Answer 8

I think I am getting confused

Answer 9

electrkid why am I not understancding this

Answer 10

are you still there

Answer 11

ok so I got v=1130.973

Answer 12

is that the final answer