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A bucket is in the form of a frustum of a cone and holds 55.704 litre of water. The radii of the top and bottom of the bucket are 32 cm and 26 cm respectively. Find the height of the frustum.1). 28 cm2). 21 cm3). 14 cm4). 24 cm |
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Answer» R = 32 cm, r = 26 cm and V = 55.704 litre 55.704 litre = 55704 cm3 Suppose the height of the frustum is ‘h’ cm; We KNOW that: Volume of the frustum = π/3 × [R2 + r2 + RR] × h ⇒ 22/7 × 1/3 × [322 + 262 + 32 × 26] × h = 55704 ⇒ 22/21 × [1024 + 676 + 832] × h = 55704 ⇒ 22/21 × 2532 × h = 55704 ⇒ 22h/21 = 22 ⇒ h = 21 ∴ Height of the frustum = 21 cm |
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