# The curved surface of a cylinder is 264 m².its volume is 924 m³.the height of the cylinder must be:

2
by harsulg86

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by harsulg86

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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

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]