Concept explainers
a.
To create a table showing volume of cone
a.
Answer to Problem 36PPS
The table is as follows
Explanation of Solution
Given information:
Radius of cone, r = (1, 8)
Height of cone= 3
Formula used:
Volume of cone =
Calculation:
Substituting values in equation,
Table is
Radius | Formula= | values |
1 | 3.14 | |
2 | 12.57 | |
3 | 28.27 | |
4 | 50.27 | |
5 | 78.54 | |
6 | 113.1 | |
7 | 153.94 | |
8 | 201.06 |
b.
To make a graph
b.
Explanation of Solution
Given information:
Tabular data of volume
Graph:
c.
To make a conjecture
c.
Answer to Problem 36PPS
Explanation of Solution
Given information:
A cone
Concluding by doubling the graph, a conjecture which can be made is:
The volume increases 4 times if the radius is doubled.
d.
To write an expression on doubling radius
d.
Answer to Problem 36PPS
The expression is
Explanation of Solution
Given information:
Radius is doubled, i.e. 2r
Formula used:
Volume of cone =
Calculation:
Substituting value in formula,
Volume=
Solving,
Volume=
Hence, the expression is
Chapter 1 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Calculus Volume 1
Fundamentals of Statistics (5th Edition)
Introductory Statistics (10th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
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