The service area of the cylinder is 42
square fts.
<h3>What is cylinder?</h3>
Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.
Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.
The uses of cylinder are-
- A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
- Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.
Total surface area of the cylinder formula:
It is the sum of the base surface area and the lateral surface area;
Total area = base area + lateral area , or
Total area = 2 π r² + (2 π r) h , or
Total area = 2 π r (r + h)
Calculation for the total area of the cylinder;
Base diameter is 6 ft
Radius is 6/2 = 3 ft
Height is 4 ft
Total area = 23(3 + 4)
= 6×7
= 42
Therefore, the total surface area of the cylinder is 42 square fts.
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Answer:
Step-by-step explanation:
Diagonal is 60 inches, height is 24 inches so
60^2 = 24^2 + width^2
6.25 inches
Answer:
6 x + 23 y < $ 680 represents the combinations of x balls and y nets that can be purchased.
Step-by-step explanation:
The number of balls than can be purchased = x
The number of nets than can be purchased = y
Total savings = $ 680
Now, the cost of 1 ball =$6
So, the cost of x balls = x ( cost of 1 ball) = x ( $6) = 6 x
Also, the cost of 1 net =$23
So, the cost of y nets = y ( cost of 1 net = y ( $23) = 23 y
So, the total amount spent on x balls and y nets
= Amount spent on x balls + Amount on y nets
= 6 x + 23 y
Also, the saved amount is $680
⇒<u> 6 x + 23 y < $ 680</u>
Hence, 6 x + 23 y < $ 680 represents the combinations of x balls and y nets that can be purchased.
Answer:
The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>
Step-by-step explanation:
Given:
Initial depth of the scuba dive = 19 ft
Rate of descent = 25 ft/min
Maximum depth to be reached = 144 ft
Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.
Framing in equation form, we get:
Total depth = Initial Depth + Rate of descent × Time
Total depth = 
Now, as per question, the total depth should not be more than 144 feet. So,
Solving the above inequality for time 't', we get:
Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.
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