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shepuryov [24]
2 years ago
9

For a right circular cylinder, if the radius is tripled and the height is shrunk down to half its size, then what is the surface

area if the original radius is 7 inches and the original height is 17 inches? Round your answer to the nearest hundredth.
A.
3,289.43 in.²
B.
3,298.43 in.²
C.
3,892.43 in.²
D.
3,982.43 in.²
Mathematics
1 answer:
Elden [556K]2 years ago
3 0

The surface area of a cylinder that the radius tripled and it height is brought down to half is 3890.46 inches²

<h3 /><h3>How to find the surface area of a cylinder?</h3>

Surface area of a cylinder = 2πr(r + h)

Therefore,

radius is tripled = 3(7) = 21 inches

height is shrunk half its size = 17 / 2 = 8.5 inches

Therefore,

surface area = 2 × 3.14 × 21 (21 + 8.5)

surface area = 131.88(29.5)

surface area = 3890.46 inches²

learn more on cylinder here: brainly.com/question/16551354

#SPJ1

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First \mathrm{Multiply\:}10x-3y=18\mathrm{\:by\:}3:\quad 30x-9y=54
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3 years ago
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SOVA2 [1]

Answer:

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Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the measure of arcs AB, BC and AC

we know that

The inscribed angle is half that of the arc it comprises.

so

\gamma=\frac{1}{2}[arc\ AB] ----> arc\ AB=2\gamma\\\alpha=\frac{1}{2}[arc\ BC] ----> arc\ BC=2\alpha\\\beta=\frac{1}{2}[arc\ AC] ----> arc\ AC=2\beta

step 2

Find the measure of angle M

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

M=\frac{1}{2}[arc\ AB+arc\ BC-arc\ AC]

substitute

M=\frac{1}{2}[2\gamma+2\alpha-2\beta]\\M=[\gamma+\alpha-\beta]

step 3   

Find the measure of angle N

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

N=\frac{1}{2}[arc\ AC+arc\ BC-arc\ AB]

substitute

N=\frac{1}{2}[2\beta+2\alpha-2\gamma]\\N=[\beta+\alpha-\gamma]

step 4    

Find the measure of angle P

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

P=\frac{1}{2}[arc\ AC+arc\ AB-arc\ BC]

substitute

P=\frac{1}{2}[2\beta+2\gamma-2\alpha]\\P=[\beta+\gamma-\alpha]

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