Answers

2014-05-03T16:17:07+05:30
Lateral surface area = 2π r h = 264 m^2 

volume = π r^2 h = 924 m^3 

solve for r: 
r/2 = 3.5 

so r = 7 m 

now you can find height in terms of π ! 

archimedes
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2014-05-03T16:25:18+05:30
Al = 264[m²] ⇔ 2rπh = 264[m²] 
V = 924[m³] ⇔ r²πh = 924[m³] 

⇒ V / Al = (r²πh) / (2rπh) = r / 2 = (924[m³]) / (264[m²]) = 3.5[m] 
⇒ r = 2 × 3.5[m] = 7[m] 

⇒ Al = 2 × 7[m] × π × h 
⇒ h = (264[m²]) / (π × 14[m]) 
⇒ h ≈ 6[m] 
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