Concept explainers
(a)
To compare area of base of new cylinder compare to original cylinder.
(a)
Answer to Problem 17E
4 : 1
Explanation of Solution
Given Information: For original cylinder = Radius = r in and Height = h in.
For new cylinder = Radius = 2r in and Height = 2h in
Formula Used:
Area of Base=
Calculation:
Area of Base of new cylinder =
For new cylinder = Radius = 2r in and Height = 2h in
Area of Base of new cylinder =
Hence,
Area of Base of new cylinder =
Area of Base of original cylinder =
For original cylinder = Radius = r in and Height = h in
Area of Base of original cylinder =
Hence,
Area of Base of original cylinder =
Hence, Ratio
Area of Base of new cylinder : Area of Base of original cylinder
4 : 1
(b)
To compare circumference of base of new cylinder compare to original cylinder.
(b)
Answer to Problem 17E
2 : 1
Explanation of Solution
Given Information: For original cylinder = Radius = r in and Height = h in.
For new cylinder = Radius = 2r in and Height = 2h in
Formula Used:
Circumference of Base =
Calculation:
Circumference of Base of new cylinder =
For new cylinder = Radius = 2r in and Height = 2h in
Circumference of Base of new cylinder =
Hence,
Circumference of Base of new cylinder =
Circumference of Base of original cylinder =
For original cylinder = Radius = r in and Height = h in
Circumference of Base of original cylinder =
Hence,
Circumference of Base of original cylinder =
Hence, Ratio
Circumference of Base of new cylinder : Circumference of Base of original cylinder
2 : 1
(c)
To compare surface area of base of new cylinder compare to original cylinder.
(c)
Answer to Problem 17E
4 : 1
Explanation of Solution
Given Information: For original cylinder = Radius = r in and Height = h in.
For new cylinder = Radius = 2r in and Height = 2h in
Formula Used:
Surface area of Base =
Calculation:
Surface area of Base of new cylinder =
For new cylinder = Radius = 2r in and Height = 2h in
Surface area of Base of new cylinder =
Hence,
Surface area of Base of new cylinder =
Surface area of Base of new cylinder =
Surface area of Base of original cylinder =
For original cylinder = Radius = r in and Height = h in
Surface area of Base of original cylinder =
Hence, Ratio
Surface area of Base of new cylinder : Surface area of Base of original cylinder
4 : 1
Chapter 10 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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