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Natali [406]
3 years ago
7

The volume of a cylinder is given by the formula V= πr^2h, where r is the radius of the cylinder and h is the height. Suppose a

cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Mathematics
2 answers:
deff fn [24]3 years ago
8 0

Answer:

V=π*(2x^3+35x^2+176x+192)units^3

Step-by-step explanation:

This is the correct answer, but on certain tests you might have to distribute the pi in the beginning of the statement. When you do this the statement becomes, 2πx^3+35πx^2+176πx+192π

AfilCa [17]3 years ago
7 0

Answer:

V=π*(2x^3+35x^2+176x+192)units^3

Step-by-step explanation:

V=πr^2h

r=x+8

h=2x+3

V=π*(x+8)^2*2x+3

=π*(x^2+16x+64)*2x+3

=π*(2x^3+32x^2+128x+3x^2+48x+192)

=π*(2x^3+35x^2+176x+192)

Volume of the cylinder=π*(2x^3+35x^2+176x+192)units^3

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Complete Question

In your biology class, your final  grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22:5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place)

Answer:

The weighted average is  W = 87.65

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  25% of total grade

  The worth of each major  test is   22.5% of total grade

   The worth of final exam is  30% of total grade

The  score on lab is  92

The score on first major test 81

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Generally the weighted score is mathematically represented as

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=> W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

=> W = 87.65

   

   

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