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Morgarella [4.7K]
3 years ago
8

100 points!! Brainliest if correct!!

Mathematics
2 answers:
kogti [31]3 years ago
8 0

Answer:

Step-by-step explanation:

surface area=top circle+bottom circle+straight face

top circle=bottom circle=pi(w-1)^2

straight face=length*height=circle circumference*height

=2pi(w-1)(w+3)

surface area=2pi(w-1)^2+2pi(w-1)(w+3)

=2pi(w-1)(w-1+w+3)

=2pi(w-1)(2w+2)

=4pi(w-1)(w+1)

ladessa [460]3 years ago
3 0

Answer:

4π(w+1)(w-1)

Step-by-step explanation:

The total surface area of the cylinder

= 2 x area of base circle + area of vertical surface

= 2x pi x radius^2 + 2x pi x radius x height

= 2π(w-1)^2 + 2π(w-1)(w+3)

= 2π[w^2-2w+1 + w^2+2w-3]

= 2π(2w^2-2)

= 4π(w^2 - 1)

= 4π(w+1)(w-1)

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