A cylindrical road roller made of metal is one meter long. Its inner radius is 27 cm and the thickness of the metal sheet rolled into it is 9 cm. What is the weight of the roller, if 1 cm3 of the metal weight 8 g?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 453.6π
Height of the cylinder(h) = 1 m or 100 cm
The inner radius of the cylinder(r1) = 27 cm
Thickness = 9 cm
The outer radius of the cylinder(r2) = 27 + 9 = 36 cm
Volume of a hollow cylinder = π(r22 - r12)h
⇒ π(362 - 272)100
⇒ π(1296 - 729)100
⇒ 56700π
⇒ Weight = 56700π × 8
⇒ 453600 g or 453.6 kg