Question

a hollow garden roller which is 49cm wide and has a girth of 176cm is made of 2cm thick cast iron. find the volume of iron and weight of roller if 1cmcube of iron weighs 7.5 grams​

Answer 1

Answer:

Circumference of the girth = 440 cm

⇒ 2πr = 440

⇒ r = 440 / (2 x 7/22) = 70 cm

Thus, Outer radius = 70 cm

Inner radius = (70 - 4) cm = 66 cm

Volume of iron = π[(70)2 - (66)2] x 63 cm3

= (22/7) x 136 x 4 x 63 cm3

= 107712 cm 3

Answer 2

Step-by-step explanation:

∵ Circumference of the girth = 440 cm

⇒ 2πr = 440

⇒ r = 440 / (2 x 7/22) = 70 cm

Thus, Outer radius = 70 cm

Inner radius = (70 - 4) cm = 66 cm

Volume of iron = π[(70)2 - (66)2] x 63 cm3

= (22/7) x 136 x 4 x 63 cm3

= 107712 cm 3