Cylinder / Tabung

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By : Amalia Lutfi K (9E/01)

Transcript of Cylinder / Tabung

Page 1: Cylinder / Tabung

By : Amalia Lutfi K (9E/01)

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VOLUME TABUNG

LUAS TABUNG

UNSUR-UNSUR

TABUNG

CONTOH SOALCONTOH SOAL SOALSOAL

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A B

CD

o

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Luas tutup : r2

Luas tutup = Luas alas

Luas selimut = p x l = 2 r x t

= 2 rt

Luas sisi tabung = 2 luas alas + L selimut

= 2r2 + 2 rt= 2 r (r+t)

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Tabung adalah prisma segi-n atau prisma segi tak terhingga.

Prisma segi-4 Prisma segi-n

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Maka rumus volum tabung diturunkan dari rumus volum prisma.

V prisma = L alas x tinggi V tabung = L alas (lingkaran) x

tinggi = r2t

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CONTOH 1 CONTOH 2

CONTOH 3

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1) Sebuah tabung jari-jarinya 21 cm dan tingginya 10 cm. Maka luas selimut tabung adalah...

Pembahasan :Luas selimut = p . l

= 2 rt= 2 . . 21 . 10 cm

=1320 cm2

3

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2) Sebuah tabung volum nya 3768 cm3 , sedangkan jari-jarinya 10 cm. Berapakah tingginya?

Pembahasan :V tabung = r2t

3768 = 3,14 . 10 . 10 . t3768 = 314t

t = 3768 : 314t = 12 cm

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3. Sebuah tabung memiliki tinggi 35 cm dan diameter 28 cm. Berapakah volumnya?

Pembahasan :V tabung = r2t

= . 14 . 14 . 35 cm

= 22. 2. 14. 35 cm= 21560 cm3

2

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1) Sebuah kaleng susu memiliki diameter alas 14 cm dan tinggi 22 cm. Volume kaleng susu tersebut adalah...

SOAL 2

SOAL 3

SOAL 4

SOAL 5

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2) Sebuah pensil baru yang belum dirauti mempunyai diameter 1 cm dan panjang 14 cm.Luas kertas plastik pembungkus pensil tersebut adalah...

SOAL 1

SOAL 3

SOAL 4

SOAL 5

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3) Sebuah tempat sampah mini yang berbentuk tabung dengan tinggi 42 cm mampu menampung sampah dengan volum 25.872 cm3.Tentukan berapa diameter tempat sampah tersebut!

SOAL 1

SOAL 2

SOAL 4

SOAL 5

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4) Sebuah topi koki berbentuk tabung mempunyai tinggi 28 cm dan diameter 18 cm. Luas permukaan topi tersebut adalah...

SOAL 1

SOAL 2

SOAL 3

SOAL 5

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3) Sebuah kue tart dengan tinggi 9 cm memiliki volum 5544 cm3 . Jika pada lapisan atas kue akan dipasang lilin dengan jarak masing-masing 4 cm. Banyak lilin yang dibutuhkan adalah...

SOAL 5

SOAL 2

SOAL 3

SOAL 4

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Volume of

Cylinder

Element of

Cylinder

Area of Cylinder

Problem Example

Exercise

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ELEMENTS OF CYLINDER

A B

CD

o

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Broad cap: r2

Broad base cap = Area

Lateral face = l . w= 2 r . h= 2 r h

The vast area of the base tube = 2 . base area+ lateral face= 2r2 + 2 rt= 2 r (r+t)

AREA OF CYLINDER

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VOLUME OF CYLINDER

Tube is facet prism or prism-n infinite

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Tube is facet prism or prism-n infiniteThen the tube volume formula derived from

prism volume formula.Prism V = Area of base x heightV tube = Area of base (circle) x height = r2h

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A tube of radius 21 cm and height 10 cm. So vast of the cylinder ...

Discussion: Broad blanket = l . w

= 2 r h = 2. . 21. 10 cm

= 1320 cm2

3

EXAMPLE 2 EXAMPLE 3

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A tube has 3768 cm3 volume. If the radius is 10 cm, determine its high!

Discussion: V tube = r2h

3768 = 3.14. 10. 10. t3768 = 314tt = 3768: 314t = 12 cm

EXAMPLE1 EXAMPLE 3

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3. A tube has a height of 35 cm and a diameter of 28 cm. The volume is...

Discussion:V tube = r2 h

= . 14. 14. 35 cm

= 22. 2. 14. 35 cm= 21 560 cm3

2

EXAMPLE 1 EXAMPLE 2

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1. A can of milk have base diameter of 14 cm and height 22 cm. The volume of milk cans are ...

Exercise 1

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2) A new pencil have a diameter of 1 cm and a length of 14 cm.Extensive plastic wrapping paper pencil is ...

Exercise 2

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3) A mini trash can-shaped tube with a height of 42 cm to accommodate waste volume of 25,872 cm3.Determine the diameter of the trash!

Exercise 3

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4) A chef's hat-shaped tube has 28 cm high and has a diameter of 18 cm. The surface area of the cap is ...

Exercise 4

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5) A cake with a height of 9 cm has a volume of 5544 cm3. If the top layer of the cake will be placed candles at a distance of 4 cm respectively. Lots of candles needed is ...

Exercise 5

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THANK YOU AMALIA LUTFI K