The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.
<h3>What is curved surface area?</h3>
The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".
Here,
Curved surface area of cone=πrl
=140π
l=5 cm
140π=πr*5
r=140/5
r=28 cm
The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.
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f(x) cannot be 0 or less than zero, but can approach+ infinity
Answer is (0, ∞)
Answer:
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Step-by-step explanation:
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Find Sales Price of 5 gallons of ice-cream:
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Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
Sales price of Rocky Road = $5.25 x 2 = $10.50
Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50
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Find Variable Cost of 5 gallons of ice-cream:
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Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25
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Fixed Cost Given:
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Fixed Cost = $7500
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Define x:
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Let x be the number of 5 gallons that need to be sold to breakeven:
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Find x:
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26.50x = 7500 + 22.25x
26.50x - 22.25x = 7500
4.25x = 7500
x = 7500 ÷ 4.25
x = 1764.7 (Nearest tenth)
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Find the number of gallons of ice-cream needed:
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Total number of 5 gallons needed = 1764.7
Total gallons needed = 1764.7 x 5 =8823.5
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Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
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