A large conical tank is to be tormed from & curcular metal sheet with radius of lometers by cutting out a Sector with vertéx angle & and when weldıng together the straight edges of the remaining piece. a) The slant height is 10 meters. Express the volume V function of it's altitude Using Bythagorean "Theorem as * Vcone = '/3 (Base crea) x (height). b) Use the properties of the derivative to find altitude, h, of the tank having slant height 10 m Cand maximal valume Also find crcumfrence. c) Arc length formula S= ro where Is measured in radians the lengtis: S and C angle o Find in terms of
A large conical tank is to be tormed from & curcular metal sheet with radius of lometers by cutting out a Sector with vertéx angle & and when weldıng together the straight edges of the remaining piece. a) The slant height is 10 meters. Express the volume V function of it's altitude Using Bythagorean "Theorem as * Vcone = '/3 (Base crea) x (height). b) Use the properties of the derivative to find altitude, h, of the tank having slant height 10 m Cand maximal valume Also find crcumfrence. c) Arc length formula S= ro where Is measured in radians the lengtis: S and C angle o Find in terms of
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the volume of a conical tank made from a circular metal sheet. Find altitude and develope a formula. See images.
Transcribed Image Text:10m
h
Figure 1
Figure 2
10m
10m
Transcribed Image Text:conical tank is to be tormed
from & circular metal sheet with
by
A large
cutting
xangleha
radius of lOmeters out
a Sector with vertex
and when welding together the
straight edges of the remaining piece.
a) The glant height is
10 meters.
Express the volume V as
function of it's altitude using
Bythagorean Theorem
* Vcone = '/3 (Base Grea
) x ChEight)
%3D
b) Use the propertles of the dlerivati ve
to find altitude, h, of the tank
having slant height 10 m Cand maxımal
valume.
Aloo find crrcumfrence.
c) Arc length formula S=ro where
Find
in terms of
IS measured in radians
the lenatis: S and C
angle
Set a formula for C (from e) equal to
the Known circumference of the maximal
conical tankK (from b) to Solve for
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