Q13 of 67 Page 190

A hollow cylinder, open at both ends has a height of 20 cm. The inner and outer diameters are 26 cm and 30 cm respectively. Find the volume of this hollow cylinder.

Height of cylinder = h = 20 cm


Inner diameter = 26 cm


⇒ Inner radius = ri = = 13 cm


Inner diameter = 30 cm


⇒ Inner radius = ro = = 15 cm


Volume of hollow cylinder = π(ri2 – ro2)h


⇒ volume of hollow cylinder = × (152 – 132) × 20


= × (225 – 169) × 20


= × 56 × 20


= 22 × 8 × 20


= 3520 cm3


Therefore, volume of cylinder is 3520 cm3


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