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The curved surface area of the bucket whose top and bottom radii are 28 cm and 7 cm and slant height is 45 cm, is :
A cone of base diameter 8 cm is formed by melting a metallic spherical shell of internal and external radii 2 cm and 4 cm, respectively. The height of the cone is :
Volume of spherical ball
A/Q
The surface area of a sphere is \(154\ cm^2 \). The volume of the sphere is :
Volume
If a cone is cut into two parts by a horizontal plane passing through the midâ€“points of its axis, the ratio of the volumes of the upper part and the cone is :
Volume of upper cone
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is :
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is :
Volume of cone
Volume of hemisphere
Volume of cylinder
A child reshapes a cone made up of China clay of height 24 cm and radius of base 6 cm into a sphere. The radius of the sphere is :
Volume of cone
A/Q
A frustum of a right circular cone of height 16 cm with radii of its circular ends as 8 cm and 20 cm has its slant height equal to :
A solid piece of iron in the form of a cuboid of dimensions \(49\ cm\times33\ cm\times24\ cm \) cm is moulded to form a solid sphere. The radius of the sphere is :
The volume of a sphere (in cu. cm) is equal to its surface area (in sq. cm). The diameter of the sphere (in cm) is :
Diameter
The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is :
Volume of the largest cone
A solid sphere of radius x cm is melted and cast into a shape of a solid cone of radius x cm. Then the height of the cone is :
The radii of bases of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2 : 3. The ratio between the volume of cylinder to that of cone is :
A solid sphere of diameter 6 cm is melted and drawn into a wire of radius 4 mm. The length of wire is :
The number of cubes of side 2 cm which can be cut from a cube of side 6 cm is :
Number of cubes
A shuttle cock used for playing badminton has the shape of the combination of :
A cone is cast through a plane, parallel to at base and then the cone that is formed on are side of that plane is removed. The new part that is left is frustum of a cone.
A metallic cube of edge 1 cm is drawn into a wire of diameter 4 mm, then the length of the wire is
Volume of cube
Radius of cube
The radii of the base of a cylinder and a cone of the same height are in the ratio 3 : 4. The ratio of their volumes is :
A garden roller has a circumference of 4 m. The no. of revolutions it makes in moving 40 metres are :
Total distance covered
Number of revolution
The ratio of volume of a cone and a cylinder of equal diameter and equal height is :
If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of a sphere , then the radius of the sphere is :
Volume of cone
If the radius of base of a cylinder is doubled and the height remains unchanged, its curved surface area becomes :
New CSA
CSA of new cylinder is doubled
The total surface area of a solid hemisphere of radius 7 cm is :
A solid sphere of radius r is melted and recast into the shape of a solid cone of height r, then the radius of the base of the cone is :
The volume of a largest sphere that can be cut from cylindrical log of wood of base radius 1 m and height 4 m is :
Total surface area of a cube is \(216\ cm^2 \), itâ€™s volume is:
Volume of cube