What is the area of the manhole if it is 2 ft wide use 3.14 as pi and round to the nearest hundredth

1 answer:

5 0

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Formula
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Area = πr²

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Find Radius
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Diameter = 2 ft
Radius = Diameter ÷ 2
Radius = 2 ÷ 2
Radius = 1 ft

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Area of the manhole
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Area = πr²
Area = (3.14)(1)²
Area = 3.14 ft²

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Answer: 3.14 ft²
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Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

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Answer:

(a) 120 square units (underestimate)

(b) 248 square units

Step-by-step explanation:

(a) left sum

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units

(b) right sum

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units