# An Iron Pole Consisting of a Cylindrical Portion 110 Cm High and of Base Diameter 12 Cm is Surmounted by a Cone 9 Cm High. Find the Mass of the Pole, Given that 1 Cm3 of - Mathematics

An iron pole consisting  of a cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that 1 cm3 of iron has 8 gram mass approximately. (Use : π = 355/115)

#### Solution

Volume of cylinder

=pir^2 h

=22/7 xx 6 xx 6 xx 110

=12445. 714  cm^3

Volume of cone

=1/3pir^2h

=1/3 xx 22/7 xx 6 xx 6 xx 9

=339.429 cm^3

Therefore,

Total volume

=12445.714 +339.429

=12785 . 123 cm^3

Therefore,

Mass of the pole

 =8 xx 12785.143  cm^3

= 102281.12 cm

= 102.28kg

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 51 | Page 83