If a hemicylinder is a cylinder cut in half lengthwise. What is the resulting volume equation of the subtraction of regular hemicylinder, labeled hemicylinder A, from a PERPENDICULARLY orinintated regular hemicylinder, labeled hemicylinder B; where 1.) both hemicylinder bases share the same plane, and 2.) hemicylinder B is larger than hemicylinder A?
2007-03-15 22:58:57 · 4 answers · asked by Omega F 2 in Science & Mathematics ➔ Mathematics
me thinks the bases (being perpendicular) must share the plane of their rectangular (cut) face...the rounded bases cant share the same plane and have the objects perpendicular at the same time. secondly, the subtraction is the smaller cylinder with a height of equal to the width of the larger! find volume of larger, minus the smaller volume created by the prescribed intersection.
:)
2007-03-16 01:32:06 · answer #1 · answered by mikedotcom 5 · 0⤊ 0⤋
a million)at the starting up in any difficulty like this you want to have a similar denominator (the volume on the bottom of the fraction) on both fractions. to attempt this you want to locate the bottom elementary denominator that could be 12 accordingly. so that you multiply the proper and bottom numbers of each fraction so as that the bottom volume equals 12. so in view that 4 x 3 = 12, 3 x 3 = 9. so its 9 over 12. the different fraction. 3 x 4 = 12 and a couple of x 4 = 8 so its 8 over 12. so all of it equals 9/12 - 8/12. right here you are able to in simple terms subtract the numerators on proper getting a million/12 it extremely is your very last answer. 2) with assistance from doing a similar element in question a million you get 5/40 and 24/40. in view that there is an entire volume you are able to turn the completed volume right into a fragment with assistance from multiplying the completed volume with the hot denominator (40) and including it to the numerator. so its 240/40 + 5/40 = 245/40 = 245/40 - 104/40 = 141/40 with assistance from simplifying you get 3 21/40
2016-11-25 23:30:38 · answer #2 · answered by ecker 4 · 0⤊ 0⤋
It is not easy to visualise precisely what is the situation. When you say perpendiculaly orientated, do you mean that the rectanguler cut faces are perpendicular? When you say that the bases share the same plane are you talking about the semicircle bases or the rectangular cut faces. The latter would be what you get with two huts with one projecting from the other.
2007-03-16 00:10:52 · answer #3 · answered by Anonymous · 0⤊ 0⤋
I think you just have to write out the defining equations and hence the relevant volume integral and solve it yourself.
2007-03-16 11:21:14 · answer #4 · answered by Curt Monash 7 · 0⤊ 0⤋