(a) Explanation Given Information: A metallurgist needs to cast a molten alloy which is in the shape of a right circular cylinder. Also, the dimensions of the mold are as shown in the below figure: . Formula used: The formula for the lateral surface area of cylinder is given by, Lateral surface area = 2 π r h Calculation: It is required to find the lateral surface area of the right circular cylinder. From the figure, observe that the diameter and height h of the mold are 4.00 cm and 5.60 cm respectively. Substitute r as 2.00 cm and h as 5.60 cm in the above formula. Lateral surface area = 2 π ( 2 (b) To determine To calculate: The total surface area of the right circular cylinder as cast in the below figure:

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 12, Problem 31R

(a)

To determine

To calculate: The lateral surface area of the right circular cylinder as cast in the below figure:

(b)

To determine

To calculate: The total surface area of the right circular cylinder as cast in the below figure:

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Chapter 12, Problem 30R

Chapter 12, Problem 32R

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The lateral surface area of the right circular cylinder as cast in the below figure:

Solution Summary: The formula for the lateral surface area of the right circular cylinder is given by Lateral Surface Area=2pi rh.