The document provides formulas for calculating the surface area and volume of cylinders and cones. For cylinders, the surface area formula is the sum of the area of the two circular bases and the lateral surface area. The volume formula is the area of the base multiplied by the height. For cones, the surface area formula is not provided, but the volume formula is 1/3 multiplied by the area of the base and the height. An example problem calculating the volume of a cone with a 7 cm radius and 15 cm height is shown.

1. TABUNG/SILINDER
RUMUS-RUMUS TABUNG
LUAS ALAS = πr2
LUAS SELIMUT = 2 πrt
LUAS PERMUKAAN = LUAS ALAS + LUAS TUTUP + LUAS SELIMUT
=
πr2
+
πr2
+
= 2 ( πr2 ) + 2 πrt
= 2 ( πr2 + πrt )
VOLUME = LUAS ALAS X TINGGI
= πr2 X t
= πr2 t
KERUCUT
T
Luas Alas : πr2
Volume
: 1/3 x LA x t
1/3 πr2t
Tt
Contoh soal : Kerucut dengan jari-jari alas 7 cm
Tinggi kerucut 15 cm. Berapa volumenya?
Jawab : Volume = 1/3 πr2t
= 1/3 x 22/7 x 7 . 7.15
= 5 x 22 x 7
= 770 cm3
2 πrt

2. CONTOH SOAL
1. TABUNG DG JARI-JARI 14 cm, DAN TINGGI 7 cm.
Berapa: a) Luas alas
b) Luas selimut
c) Luas permukaan
d) Volume
Jawab: a) Luas alas : πr2 = 22/7 x 142 x 14
= 44 x 14
= 616 cm2
b) Luas selimut : 2 πrt = 2 x 22/7 x 142 x 7
= 88 x 7
= 616 cm2
c) Luas permukaan : 2 ( πr2 + πrt ) = 2 (616 + 308 )
= (2 x 616) + (2 x 308)
= 1.232 + 616
= 1.848 cm2
d) Volume : πr2 t = 22/7 x 142 x 14 x 7
= 44 x 14 x 7
= 616 x 7
= 4.312 cm3