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A solid wooden toy is in the shape of a right circular cone mounted on a hemisph

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is…

A cone, a hemisphere and a cylinder stand on equal bases and have the same heigh

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is

The base of right pyramid is an equilateral triangle, each side of which is 20 c

The base of right pyramid is an equilateral triangle, each side of which is 20 cm. Each slant edge is 30 cm. The vertical…

Six cubes each edge 2 cm, are joined end to end. What is the total surface area

Six cubes each edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm 2…

The base, of a right prism is a regular hexagon of side 5 cm. If its height is 1

The base, of a right prism is a regular hexagon of side 5 cm. If its height is 12√3 cm, then its volume (in…

The radius of the base of a conical tent is 16 metres. If 427(3)/(7) sq. metre c

The radius of the base of a conical tent is 16 metres. If 427(3)/(7) sq. metre canvas is required to construct the tent, then…

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee

A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of…

The length of a metallic pipe is 7.56 m. Its external and internal radii are 2.5

The length of a metallic pipe is 7.56 m. Its external and internal radii are 2.5 cm and 1.5 cm respectively. If 1 cm…

The radius of the base of a cylinder is 14 cm and its volume is 6160 cm 3. The c

The radius of the base of a cylinder is 14 cm and its volume is 6160 cm 3. The curved surface area (in cm…

The base of a right prism is a quadrilateral ABCD, given that AB = 9 cm, BC = 14

The base of a right prism is a quadrilateral ABCD, given that AB = 9 cm, BC = 14 cm, CD = 13 cm,…

A solid metallic sphere of radius 15 cm is melted and recast into spherical ball

A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio…

The circumference of the base of a right circular cone is 44 cm and its height i

The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in…

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