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Aptitude · Q48

Mensuration 3d

Competitive Exams · Aptitude · question 48

Q48

A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume of iron used in making the tube is ( = 227 )

A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume of iron used in making the tube is
A.
1760 cm3
B.
880 cm3
C.
440 cm3
Answer
D.
220 cm3

Answer: Option C

Solution

Answer: Option C
Solution:
External radius R = 4 cm
Internal radius r = 3 cm
Volume of iron used = πR2h - πr2h
= πh(R2 - r2)
= πh(R + r)(R - r)
= × 20 × (4 + 3) × (4 - 3)
= × 20 × 7 × 1
= 440 cm3