The radius and slant height of a conical tank are in the ratio 3:5. If its volume is 12936 kl then in the cos of cementing it from inside @1paise/cm2.
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Radius (r) and height (h) of cone are in ratio 3:4
r/h= 3/4
r=(3/4)h
Volume of cone, V=(1/3) πr²h= (1/3)π [(3/4)h] ²h = (π/3) (9/16)h³
12936 = (3π/16)h³
h= 28
r = (3/4) 28 = 21
Slant length (s) = √(28²+21²) = 35
Second thought:
When r=3, h=4, s=5 and therefore volume = 37.69
When r=21, h=28, then volume = 12936
Ratio = 12936 /37.69 = 343
Therefore, s = 5 (∛343) = 35
Ans: 35 cm
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Answer:
ans =35
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