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Group 4- CONES• Boon Yi Chung• Chan Tian Ji• Deong Khai Keat• Kiraly Renaud• Nigel Tan Yong Chien• Ong Chia Hong
Calculation of a cone
Volume = πr²h
Cone
31
Lateral Surface Area = πrs
= πr √ (r² + h²
Total Surface Area = πr² + πrs
= πr² + πr √ r² + h²
For example…
Volume of a cone
== 103.69 cm3
πr²h 31
=
31
31
(3.142) (3)2 (11)
Volume of a cone formula = πr2h
π= 3.142r = 3 cm
h = 11 cm
3 cm
11 cm
r
R
S
r
S
R
= radius of upper base
= radius of lower base
= slant height
Truncated cone
h
h = height
Calculation of a truncated cone
πh 3
(r² +rR + R²)Volume=
Lateral Surface Area = π(r + R)S
= π(r + R) √(R - r)²+h²
Total Surface Area = π(r + R)S + π² + πR²
= π(r + R) √(R - r)²+ h² + πr² + πR²
-A cone with an vertex that is not aligned above the centre of the base.
DEFINITION OF AN OBLIQUE CONE:
For example
r
B= πr231
31 31 31
Volume of oblique cone= Bh
= πr2h
= (3.142) (3)2(9)
Formula of oblique cone = Bh
π = 3.142r = 3 cmH = 9 cm
Given radius of base is 3 cm, height of cone is 9 cm.
Calculate the volume of the oblique cone.
= 84.83 cm3
20
Volume of an oblique cone= Bh
Volume of a right cone= πr2 H
B= area of base
πr2 = area of base
B = area of base = πr2
The formulas are SAME !
Conclusion :
31
31