Aptitude · all questions

Volume And Surface Area
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Questions

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Q101

The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

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Q102

A solid metallic right circular cylinder of base diameter 16 m and height 2 cm is melted and recast into a right circular cone of height three times that of the cylinder. Find the curved surface area of the cone. [Use

π

= 3.14]

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Q103

If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is :

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Q104

A sphere and a cube have equal surface area. The ratio of the volume of the sphere to that of the cube is :

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Q105

Some solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6 cm. The number of right circular cones is :

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Q106

If the radius of the base and height of a cylinder and cone are each equal to r, and the radius of a hemisphere is also equal to r, then the volumes of the cone, cylinder and hemisphere are in the ratio ?

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Q107

The radius of a cylinder is 5 m more than its height. If the curved surface area of the cylinder is 792 m², what is the volume of the cylinder ?

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Q108

The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is :

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Q109

The dimensions of an open box are 52 cm × 40 cm × 29 cm. It thickness is 2 cm. If 1 cu.cm of metal used in the box weight 0.5 gm, then the weight of the box is :

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Q110

Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures 3 cm, then what is the total surface area of the solid body thus formed ?

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Q111

The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?

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Q112

If the height of a cylinder is increased by 15 percent and the radius of its base is decreased by 10 percent then by what percent will its curved surface area change ?

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Q113

A copper rod of 1 cm diameter and 8 cm length is drawn into a wire of uniform diameter and 18 m length. The radius (in cm) of the wire, is :

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Q114

A conical tent is to accommodate 11 persons. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. The height of the cone is :

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Q115

A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number of cones is :

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Q116

If the radii of two spheres are in the ratio 1 : 4, then their surface areas are in the ratio :

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Q117

The ratio of the volume of a cube to that of a sphere which will fit inside the cube is :

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Q118

A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of the metal is :

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Q119

A cone of height 15 cm and base diameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of wood wasted is :

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Q120

A solid body is made up of a cylinder of radius r and height r, a cone of base radius r and height r fixed to the cylinder's one base and a hemisphere of radius r to its other base. The total volume of the body (given r = 2) is :

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