Q. 114.2( 14 Votes )

Answer :

let ABC be the given cone.

Here, the height of the metallic cone AO = 20cm

Cone is cut into two pieces at the middle point of the axis.

hence, the height of the frustum cone AD = 10cm

Since ∠A is right-angled, so ∠B = ∠C = 45°

From triangle ADE,

⇒ r'=10cm

Similarly, from triangle AOB,

⇒ r''=20cm

The volume of the frustum of a cone

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PREVIOUSA reservoir in the form of the frustum of a right circular cone contains 44 × 107 litres of water which fills it completely. The radii of the bottom and top of the reservoir are 50 metres and 100 metres respectively. Find the depth of water and the lateral surface area of the reservoir. NEXTA bucket is in the form of a frustum of a cone with a capacity of 12308.8 of water. The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket and the area of the metal sheet used in its making.