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651. The internal and external diameter of a hollow hemispherical shell are 6 cm and 10 cm respectively. It is melted and recast into a solid cone at base diameter 14 cm. Find the height of the cone so formed.

Solution not provided.

Ans. 4 cm

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652. A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere. Find the radius of the hemisphere and the total height of the toy if height of the conical part is 3 times its radius.

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653. A bucket is in the form of a frustum of a cone its depth is 30 cm and the diameters of the top and bottom are 42 cm and 14 cm respectively. Find how many litres of water can the bucket hold, (use

straight pi

= 22/7).

171 Views

654. The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 cu. cm. Find the total surface area of the cylinder, (use

straight pi

= 12/7).

194 Views

655. The rain water from a roof 22 m x 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, find the rainfall in cm.

94 Views

656. The rain water from a roof 22 m x 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, find the rainfall in cm.

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657. A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the bucket if the cost of metal sheet used is Rs. 15 per 100 cm² (use

straight pi

= 3.14).

88 Views

658. A solid is in the form of a right circular cylinder with hemispherical ends. The total height of the solid is 58 cm and the diameter of the cylinder is 28 cm. Find the total surface area of the solid (use

straight pi

= 22/7).

473 Views

659. A bucket made up of a metal sheet is in the form of a frustum of a cone. Its depth is 24 cm and the diameters of the top and bottoms are 30 cm and 10 cm respectively. Find the cost of milk which can completely fill the bucket at the rate of Rs. 20 per litre and the cost of the metal sheet used, if it costs Rs. 10 per 100 cm² (use

straight pi

= 22/7).

244 Views

660. Water is flowing at the rate of 13 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tank will rise by 21 cm.

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651. The internal and external diameter of a hollow hemispherical shell are 6 cm and 10 cm respectively. It is melted and recast into a solid cone at base diameter 14 cm. Find the height of the cone so formed.