Answer:
Use the slope-intercept form to find the slope and y-intercept.
Slope: −1 y-intercept: (0,−5)
Step-by-step explanation:
Answer:
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The surface area of a given cylinder with a volume of 75 cubic feet and a height of 3 feet is calculated to be 80 square feet by first finding the radius from the volume and height, then substituting those into the surface area formula.
To find the surface area of a cylinder, we first need to know the radius. Given the volume (V) of a cylinder is 75 cubic feet and the height (h) is 3 feet, we can use the formula V = πr²h to find the radius (r). Now, since V = 75 cubic feet and h = 3 feet, we can adjust our formula to solve for r: r = √(V/(πh)) = √(75/(3π)) and find the radius to be 2.88 feet. The formula for the surface area (SA) of a cylinder is SA = 2πrh + 2πr². Substituting r = 2.88 feet and h = 3 feet, we calculate the surface area to be 80 square feet. So the answer is H: 80 square feet.
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