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 $$\left( {\pi = \frac{{22}}{7}} \right)$$
A. 1760 cm3
B. 880 cm3
C. 440 cm3
D. 220 cm3
Answer: Option C
Solution (By Examveda Team)
External radius R = 4 cmInternal radius r = 3 cm
Volume of iron used = πR2h - πr2h
= πh(R2 - r2)
= πh(R + r)(R - r)
= $$\frac{{22}}{7}$$ × 20 × (4 + 3) × (4 - 3)
= $$\frac{{22}}{7}$$ × 20 × 7 × 1
= 440 cm3
This Question Belongs to Arithmetic Ability >> Mensuration 3D
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A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$
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