Find the surface area of the cylinder

Mathematics

1 answer:

scoundrel [369]2 years ago

3 0

Answer:

Step-by-step explanation:

Surface Area:

A=2πrh+2πr^2

A=(2 * 3.143 * 8 * 8) + (2 * 3.143 *(8)^2)

A=402.286 + (2 * 3.143 * 64)

A=402.286 + 402.286

A=804.571 in.

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Anastasy [175]

See the attached picture to better understand the problem

we know that
<span>the area of the shaded portion in the circle=area 1+area 2

step 1
find area 1
area 1=area of semi circle
area 1=pi*r</span>²/2
diameter=12 units
radius r=12/2----> 6 units

r=6 units
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step 2
find the area 2

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applying Pythagoras Theorem
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h=3 units
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find the angle ACB
tan ∠ACB=AB/BC-----> 3√3/3---> √3
∠ACB=arc tan (√3)-----> 60°

the central angle ACD=60*2-----> 120°

area of sector CADC=(120/360)*pi*r²----> (120/360)*pi*6²---> 37.68 units²
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step 3
the area of the shaded portion in the circle=area 1+area 2
the area of the shaded portion in the circle= 56.52 +22.09----> 78.61 units²

the answer is
the area of the shaded portion is 78.61 units²