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Answer:
The radius of the cylindrical shape wire is 6cm
Step-by-step explanation:
Let , 'h' be the height of the cone in cm
By using Pythagoras theorem,
:.slant height (l)² = (h)² + (r)²
:. (41)² = h² + (9)²
:. 1681 = h² + 81
:. h² = 1681 – 81
:. h² = 1600
:. h = 40 cm ---( by taking square root )
Let , 'R' be the radius of cylindrical wire and
'H' be the height of cylindrical wire in cm
Here,
The volume of cone and cylinder are same
:. 1/3 × π r² h = π R² H
:. 1/3 × (9)² × 40 = R² × 30
:. 1/3 × 81 × 40 = R² × 30
:. 27 × 40 = R² × 30
:. 1080 = R² × 30
:. R² = 1080 / 30
:. R² = 36
:. R = 6 cm
:. The radius of cylindrical wire is 6 cm
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