Remember to stop solving and submit when there are 10 mins (or more) leit on the clock!!! No late subnissions!]Volumes by slices.yThe law of similar triangles states thatx2Y2Y2Y1with the distances as depicted in the figure. Similarly, it can beshown that the areas depicted in the figure are related throughY2X1X2A1Y1A,this fact and the methods learned in class to compute thevolume of a cone of height H and with an arbitrary shape baseof area A. Draw a diagram clearly indicating all objects/labelsthat you used.A2Jupload151 S21 Mi21 5:00-6:10

The law of similar triangle is x2x1=y2y1 The area depicted of the given figure is A2A1=x2x12=y2y12

Answered: Volumes by slices. The law of similar…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Remember to stop solving and submit when there are 10 mins (or more) leit on the clock!!! No late subnissions!]
Volumes by slices.
y
The law of similar triangles states that
x2
Y2
Y2
Y1
with the distances as depicted in the figure. Similarly, it can be
shown that the areas depicted in the figure are related through
Y2
X1
X2
A1
Y1
A,
this fact and the methods learned in class to compute the
volume of a cone of height H and with an arbitrary shape base
of area A. Draw a diagram clearly indicating all objects/labels
that you used.
A2
Jupload
151 S21 Mi
21 5:00-6:10

Expert Solution

Given data,

The law of similar triangle is $\frac{x_{2}}{x_{1}} = \frac{y_{2}}{y_{1}}$
The area depicted of the given figure is $\frac{A_{2}}{A_{1}} = {(\frac{x_{2}}{x_{1}})}^{2} = {(\frac{y_{2}}{y_{1}})}^{2}$

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