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The radius of a sphere and the edge of a cube are equal. The ratio of the their volume is :
Volume of sphere
Volume of cube
Ratio
27 solid iron spheres each of radius r, are melted to form a new sphere. The radius of the new sphere is :
The diameters of two cones are equal. If their slant height are in the ratio 7 : 8, then the ratio of their curved surface areas will be
The radius of a wire is decreased to one thrid. If the volume remains the same, its length will increase by :
original volume
New volume
A/Q
The volumes of two spheres are in the ratio 64 : 27. The ratio of their radii is equal to :
How many bricks, each measuring \(50\ cm \times 25\ cm \times 12\ cm\), will be needed to build a wall measuring \(16m \times 12 m \times 45cm\) ?
Number of bricks
If the slant height of a cone is double its base radius,then volume of the cone is :
Volume of the cone
A cuboid has 12 edges. The combined length of all 12 edges of the cuboid is equal to :
In any cuboid , 4 edges = l, 4 edges = b, 4 edges = h
Total length = 4l + 4b + 4h = 4(l+b+h)
The area of the iron sheet required to prepare a cone without base of height 3 cm with radius 4 cm is :
Area of iron sheet
Curved surface area of a right circular cylinder is \(8.8\ m^2\). If the radius of the base of the cylinder is \(1.4\ m\), its height is equal to :
CSA of cylinder
The height (h) of a cone is equal to its base diameter (2 r). The slant height of the cone is :
The volume of the largest cone which can be cut from a cube of edge a is :
Radius , height
Volume
If the volume of a cube is \(3\sqrt3\ a^3 \), then surface area of the cube is :
Total surface area
The lateral surface area of a cube is \(256\ m^2 \). The volume of the cube is :
Volume
The number of planks of dimensions \((4m \times 5m \times 2m)\) that can be stored in a pit which is \(40m\) long, \(12\ m\) wide and \(160\ m\) deep is :
Number of planks
The length of the longest pole that can be put in a room of dimensions \((10m \times 10m \times 5m)\) is :
length of the largest pole
In a cylinder, if radius is halved and height is doubled, the volume will be :
Volume of cylinder
Volume of new cylinder
If the radius of a wire is decreased to oneโfourth of its original and its volume remains same, then how many times will the new length become of its original length ?
Volume of wire
New radius
A/Q
Five cubes each of edge 1 cm are joined face to face. The surface area of the cuboid thus formed is
Surface area
If the radius of a cone is increased by 100% and height is decreased by 50%, then the volume of the new cone is …………….. the volume of the original cone.
Volume of cone
Volume
Two cubes each of edge 5 cm are joined face to face. The surface area of the cuboid thus formed is equal to :
Surface area
If the radius of a sphere is increased by \(5\ cm\), then its surface area increases by \(704\ cm^2\). The radius of the sphere before the increase was :
A heap of wheat is in the form of a cone whose radius is 3 m and slant height is 7 m. The heap is to be covered by canvas to protect it from rain. The area of canvas required is :
Area of canvas
A rectangular sheet of paper \(22\ cm \times 15\ cm\) is rolled along its length to form a hollow cylinder. The radius of the cylinder is :
A cylinder and a cone have the same base radius. If their volumes are equal, then ratio of their heights is :
The thickness of a hollow cylinder is 1 cm. It is 7 cm long and its inner radius is 3 cm. The volume of the wood required to make the cylinder is :
Volume of outer cylinder
Volume of inner cylinder
Volume of wood
The total surface area of a cone whose radius is \(\dfrac{r}{2} \) and slat height \(2l \) is :
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is :
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is :
Volume of cone
A/Q
Base area of a cylinder is 154 sq cm. Its height is 5 cm. Then its volume is :
Volume of cylinder
The total surface area of a cone whose radius is \(2r \) and slant height \(\dfrac{l}{2} \) is:
TSA of a cone
Diameter of the earth is four times (approximately) the diameter of the moon, then the ratio of their surface areas is :
Curved surface area of a hemisphere of diameter 2r is :
Radius
CSA of hemisphere
In a cylinder, radius is doubled and height is halved. The curved surface area will be :
CSA of a cylinder
A cuboid has dimensions \(5\ cm \times 4\ cm \times 2\ cm\). Number of cubes of \(2\ cm\) side that can be cut from the cuboid is :
Number of cubes
The length of the longest rod that can be put in a hall of dimension \(23\ m \times 10\ m \times 10\ m\) is :
length of the longest rod
The area of the base of a solid hemisphere is \(36\ cm^2\). Its curved surface area is :
CSA
The curved surface area of a cylinder is 2200 sq cm and circumference of its base is 220 cm. Then the height of the cylinder is :
CSA of cylinder
The lateral surface area of a cube is \(100\ m^2 \). The volume of the cube is :
Volume
The curved surface area of a hemisphere is \(77\ cm^2 \). Radius of the hemisphere is