Question

the curved surface area of a cylindrical pillar is 440m2 and its volume is 3080m3.find the height of the pillar.

Answer 1

Curved surface area = 440 m²
2 * pi * radius * height = 440
→ pi * radius * height = 220
→ radius = 220/(height * pi)_______ A

Volume = 3080 m³
pi * radius² * height = 3080
→ radius = √[3080/(height * pi)]____ B

From A and B,
220/(height * pi) = √[3080/(height * pi)]
[220/(height * pi)]² = 3080/(height * pi)
48400/(height * pi)² = 3080/(height * pi)
→ 48400/(height * pi) = 3080
→ height * pi = 48400/3080
→ height = 48400 * 7/3080 * 22
→ height = 5 m

Height of pillar is 5 m

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