To find: the lateral and surface area
Answer to Problem 32SR
The surface area of the cylinder is approximately
The lateral area of the cylinder is approximately
Explanation of Solution
Given:
Cylinder diameter 5.7 meters, height 2.3 meters
Formula used:
The lateral area L of a cylinder is
Here, r is the radius of the base and h is the height the cylinder.
The surface area S of a rectangular prism is S = L + 2B.
Here, L is the lateral area and B is the area of the base.
Calculation:
Consider the diameter of the cylinder is 5.7 m and the height of the cylinder is 2.3 m.
The objective is to find the lateral and surface area of the cylinder.
Find the lateral area of the cylinder as follows:
Since radius is half the diameter of a
Therefore, the radius of the circle is,
Substitute
Hence, the lateral area of the cylinder is approximately
Find the surface area of the cylinder as follows:
The area B of the base is
Here, r is the radius of the circle.
Substitute
Substitute
Hence, the surface area of the cylinder is approximately
Conclusion:
Hence, the surface area of the cylinder is approximately
Chapter 12 Solutions
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