heya everyone..!! solve this.
QUESTION : A hollow garden roller of 42 cm diameter and length 152 cm is made of cast iron 2 cm thick. Find the volume of iron used in the roller.
RoyalSTAR1:
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Hello Mate!
Since we know that volume of hollow cylinder = 3.14 × h × ( R² - r² )
= 3.14 × h × ( R + r ) ( R - r )
So external diameter is 42 cm, then radius is 21 cm. Then internal radius
= 21 cm - 2 cm = 19 cm
So, volume of cylinder = 3.14× 152 × (21 + 19)(21 - 19)
= 3.14 × 152 × 40 × 2
= 38182.4 cm³ or 0.04 m³
38182.4 cm³ volume of iron should be used in the roller.
"Have great future ahead!"
Since we know that volume of hollow cylinder = 3.14 × h × ( R² - r² )
= 3.14 × h × ( R + r ) ( R - r )
So external diameter is 42 cm, then radius is 21 cm. Then internal radius
= 21 cm - 2 cm = 19 cm
So, volume of cylinder = 3.14× 152 × (21 + 19)(21 - 19)
= 3.14 × 152 × 40 × 2
= 38182.4 cm³ or 0.04 m³
38182.4 cm³ volume of iron should be used in the roller.
"Have great future ahead!"
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