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A bucket in the form of …

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A bucket in the form of frustum of a cone can hold 14245 cm3 of water the radii of top and bottom are 14cm and 10.5 cm respectively. Find the height of bucket.
  • 1 answers

Yogita Ingle 6 years, 11 months ago

R = 14 cm
r = 10.5 cm
Let height of frustum be h cm

∴ Volume held by bucket =   14245 cm³
Also,

Volume of frustum = π(R²+Rr+r²)h/3
⇒  14245 = 22× (196+ 147+110.25 )× h/(3× 7)
⇒  453.25 h = 14245*21/22
⇒  453.25 h = 13597. 5
⇒   h = 13597.5/453.25 = 30cm

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