The inner and outer radiiof the Hollow cylinder are 15cm and 20cm respectively.the cylinder is melted and recast into solid cylinder of the same length.find the radius of the base of the new cylinder
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Answer:
The radius of the base of the new cylinder (solid cylinder) is 13.2 cm.
Step-by-step explanation:
SOLUTION :
Let the radius of the solid cylinder be r1.
Given :
Inner radius of hollow cylinder , r = 15 cm
Outer radius of hollow cylinder, R = 20 cm
Given : The hollow cylinder is melted into a solid cylinder with the same height.
Volume of solid cylinder = Volume of hollow cylinder
πr1² h = π(R² -r²) h
r1² = (R² -r²)
r1² = (20² - 15²)
r1² = 400 - 225 = 175 cm
r1 = √175
r1 = 13.2 cm
Hence, the radius of the base of the new cylinder (solid cylinder) is 13.2 cm.
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Answer:
radius of the base of the new cylinder (solid cylinder) is 13.2 c
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