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Solution is not provided. Ans. 49.7 m 3

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581. An ice-cream cone consists of a right circular cone of height 14 cm and diameter of the circular top is 5 cm. It has hemisphere on the top with the same diameter as of circular top. Find the volume of ice-cream.

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582. A solid toy is in the form of a cone mounted on a hemisphere. If the radii of the hemisphere and the base of the cone are 4.2 cm each and the total height of the toy is 10.2 cm. Find the volume of the solid which is made of wood.

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583. A circus tent consists of a cylindrical base surmounted by a conical roof. The radius of the cylinder is 20 m. The heights of the cylindrical and conical portions are respectively 42 m and 14 m. Find the capacity of the tent and also the number of persons it can
accommodate if each man is allowed

7 1 third space cm cubed

of space.

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584. A cylindrical boiler, 4 m high and 3.5 in diameter, has a hemispherical lid. Find the volume of the interior of the boiler, including the part covered by the lid.

Solution is not provided.

Ans. 49.7 m³

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585. A cylindrical iron pillar 42 dm high and 5 dm in radius is surmounted by a cone 7 dm high. Find the weight of the iron pillar, if 1 dm³ of iron weighs 9.6 gm.

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586. A bucket is in the from of frustum and holds 15.25 litres. The diameter of the top and bottom are 25 cm and 20 cm respectively. Find its height and area of tin used in its construction.

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587. If the radii of the circular ends of a bucket 45 cm high, are 28 cm and 7 cm (as shown in Fig.). Find the capacity of the bucket.

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588. A bucket is in the form of a frustum of a cone. Its depth is 24cm and the diameters of the both ends are 30 cm and 10 cm respectively. Find the capacity of the bucket.

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589.

A solid right circular cone of base radius 6 cm and height 12 cm is made of metal. A right circular cone of height 4 cm is removed from eight cone leaving a pasture.
Calculate :
(i) Radius of right circular cone which has been resourved.
(ii) Volume of the frustum.
(iii) Whole surface area of frustum.

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590. A tent consists of frustum of a right circular cone capped by a right circular cone. Find the area of canvas required for the tent. The radii of the ends of the frustum are 15 cm and 9 cm. The height of the frustum is 8 cm and slant height of conical cone is 10 cm.

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584. A cylindrical boiler, 4 m high and 3.5 in diameter, has a hemispherical lid. Find the volume of the interior of the boiler, including the part covered by the lid.