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ddd [48]
3 years ago
13

The radius of a cylindrical gift box is ​(4x + 1​) inches. The height of the gift box is three times the radius. What is the sur

face area of the​ cylinder? Write your answer as a polynomial in standard form.
Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer:

S = 128πx² + 64πx + 8π

Step-by-step explanation:

Suraface area of a cylinder is given by:

S = 2πrh + 2πr²

We know that the height is 3 times as big as the radius, hence:

h = 3r

so we can plug in the new h value and rewrite the S equation as:

S = 2πrh + 2πr²

S = 2πr(3r) + 2πr²

S = 6πr² + 2πr²

S = 8πr²

We're given in the question that the radius is ​(4x + 1​) inches, so plug that into r.

Given: r = 4x + 1​

Therefore,

S = 8πr²

S = 8π(4x + 1​)²

S = 8π(16x²+8x+1)

S = 128πx² + 64πx + 8π

Anastaziya [24]3 years ago
4 0

Answer:

The answer to your question is 128πx² + 64πx + 8π

Step-by-step explanation:

Data

radius = (4x + 1)

height = 3(4x + 1)

Formula

Area = 2πrh + 2πr²

Substitution

Area = 2π(4x + 1)(3)(4x + 1) + 2π(4x + 1)

Simplification

Area = 6π(4x + 1)² + 2π(4x + 1)²

Area = 6π(16x² + 8x + 1) + 2π(16x² + 8x + 1)²

Area = 96πx² + 48πx + 6π + 32πx² + 16πx + 2π

Area = 128πx² + 64πx + 8π

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Help how do you do this help fast please
GalinKa [24]

Answer:

x= 50°

Hope it helps!

Step-by-step explanation:

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Jeremy is going on rides at a carnival he starts the rides a 12:30 by 12:45 he had gone on 1/5 of the carnival rides at the rate
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Answer:

1.25 hours or 1 hour and 15 minutes

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12:45 - 12:30 = :15

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2x+3y=1, -x+2y=-4 solve using substitution method
ollegr [7]

Step-by-step explanation:

1) 2x+3y-3y=1-3y. -x+2y= -4

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x=1-3y/2. -1+3y/2= -4

x=1-3(-2)/2 3y/2= -4+1

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S.s{ 7/3,-2}

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x=-13/4 y= 1

S.s { -13/4, 1 }

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3 years ago
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