a.
To write: A monomial that represents the volume of her cylinder.
a.
Answer to Problem 61PPS
The required volume is
Explanation of Solution
Given information:
The shape of the container Alka chose is a cylinder.
The formula of the volume of a cylinder is
The radius that Alka would like to use is
The height that Alka would like to use is
Calculation:
(Write the formula)
(Substitute the values of r and h)
(Power of a product)
(Power of a power)
(Commutative)
(Product of powers)
(Simplify)
Thus the volume is
b.
To make: A table for five possible measures for the radius and height of a cylinder having the same volume.
b.
Answer to Problem 61PPS
The required table is:
Radius | Height | Volume |
| | |
| | |
| | |
| | |
| | |
Explanation of Solution
Given information:
The shape of the container Alka chose is a cylinder.
The formula of the volume of a cylinder is
The radius that Alka would like to use is
The height that Alka would like to use is
Calculation:
The original volume is
Radius | Height | Volume |
| | |
| | |
| | |
| | |
| | |
c.
To find: The volume of Alka’s container if the height is doubled.
c.
Answer to Problem 61PPS
The required answer is
Explanation of Solution
Given information:
The shape of the container Alka chose is a cylinder.
The formula of the volume of a cylinder is
The radius that Alka would like to use is
The height that Alka would like to use is
The height of the cylinder is doubled.
Calculation:
The new height is
(Write the formula)
(Substitute the values of r and h)
(Power of a product)
(Power of a power)
(Commutative)
(Product of powers)
(Simplify)
Thus the new volume is
Chapter 7 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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