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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 10.5cm respectively. Find the height of bucket.

Posted by Naitik Garg 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Naitik Garg 6 years, 10 months ago

Thanku yogita

0Thank You

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

0Thank You

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