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quester [9]
4 years ago
5

The radius of a cylinder is increased from 9 to 9.03 inches. if the height remains constrant at 12 inches. Estimate the change i

n volume
Mathematics
1 answer:
valina [46]4 years ago
4 0
1. Calculate for the volume of the original cylinder using the equation,
      V = πr²h

where V is the volume, r is the radius, and h is the height

Substituting the known values,
   V₁ = π(9 in)²(12 in) = <em>3053.63 in³</em>

2. Do the same for the cylinder with the increased radius,

    V₂ = π(9.03 in)²(12 in) = <em>3074.02 in³</em>

3. Lastly, determine the difference between the two volumes through the equation,

    d = V₂ - V₁

Substituting the known values,
  d = 3074.02 in³ - 3053.63 in³

  <em> d = 20.39 in³</em>
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The equation of a parabola is 18(y−5)2=x+3 . What are the coordinates of the focus? (−3, 7) (−5, 5) (−1, 5) (−3, 3)
aleksandrvk [35]
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6 0
3 years ago
Help me solve this image please!!!
tresset_1 [31]

Based on the information, Christian would have $5525.5 of an annuity.

<h3>How to calculate the annuity?</h3>

According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12

Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54

Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133

n = number of payments = 8 x 12 = 96

We can use the formula for finding the future value as below

FV = C x [ ( 1 + r )n-1 ] / ( r )

FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)

= 54 x [ (1.13609 - 1)] / (0.00133)

= 54 x 0.13609 / (0.00133)

= 54 x 102.3233

= 5525.5

Therefore Christian would have $5525.5 of the annuity.

Learn more about annuity on:

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Answer:

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hope it was helpful

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3 years ago
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