If the volume of a cube is 1728 cm3, the length of its edge is equal to
Two cubes each of 10 cm edge are joined end to end. The surface area of the resulting cuboid is
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A rectangular sheet of paper 44 cm × 18 cm is rolled along its length and a cylinder is formed. The volume of the cylinder so formed is equal to (Take π = 22/7)
If the radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm3, then its radius is equal to (Take π = 22/7)
If the curved surface area of a solid right circular cylinder of height h and radius r is one-third of its total surface area, then
A hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively, then the volume of the metal used in making the pipe is (Take π = 22/7)
If the radius and slant height of a cone are in the ratio 4 : 7 and its curved surface area is 792 cm2, then its radius is (Take π = 22/7)
If the radius of the base and the height of a right circular cone are respectively 21 cm and 28 cm, then the curved surface area of the cone is (Take π = 22/7)
A conical tent with base-radius 7 m and height 24 m is made from 5 m wide canvas. The length of the canvas used is (Take π = 22/7)
The total surface area of a solid hemisphere of radius 3·5 m is covered with canvas at the rate of Rs. 20 per m2. The total cost to cover the hemisphere is (Take π = 227)
If the volume of a vessel in the form of a right circular cylinder is 448 cm3 and its height is 7 cm, then the curved surface area of the cylinder is
If the curved surface area of a right circular cone is 12320 cm2 and its base-radius is 56 cm, then its height is (Takeπ = 22/7)
If a solid metallic sphere of radius 8 cm is melted and recasted into n spherical solid balls of radius 1 cm, then n =
If the diameter of a metallic sphere is 6 cm, it is melted and a wire of diameter 0·2 cm is drawn, then the length of the wire made shall be
If n coins each of diameter 1·5 cm and thickness 0·2 cm are melted and a right circular cylinder of height 10cm and diameter 4·5 cm is made, then n =
A tent is in the form of a cylinder of diameter 8 m and height 2 m, surmounted by a cone of equal base and height 3 m. The canvas used for making the tent is equal to
A toy is in the form of a cone mounted on a hemisphere with same radius. The diameter of the base of the conical portion is 6 cm and its height is 4 cm. The surface area of the toy is
A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. The volume of the frustum is
A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm has lateral surface area equal to
A solid metal cone with base-radius 12 cm and height 24 cm, is melted to form solid spherical balls, each of diameters 6 cm. The number of such balls made is
One cubic metre piece of copper is melted and recast into a square cross-section bar, 36 m long. An exact cube is cut off from this bar. If cubic metre of copper cost Rs. 108, then the cost of this cube is :
If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes is :
In a shower 10 cm of rain fall. The volume of water that falls on 1.5 hectares of ground is :
The radius of base and the volume of a right circular cone are doubled. The ratio of the length of the larger cone to that of the smaller cone is :
A cone and a hemisphere have equal base diameter and equal volumes. The ratio of their heights is :
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