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10 cylindrical pillars of a building has to be painted. The radius of each pillar is 35 cm and height is 2 m. The cost of painting at the rate of ₹5 per sqm?
Surface area of 10 cylinder
Cost
A right triangle ABC with its sides 5 cm, 12 cm, 13 cm is revolved about the side 12 cm. The volume of solid so formed is
A card board sheet is the form of a circular sector of radius 20 cm and central angle \(108^o \) is folded to make a cone. What is the radius of the cone?
The length, breadth and height of a cuboid are 15 cm, 12 cm, 4.5 cm respectively. Its volume is
Volume
A cuboid is 12 cm long, 9 cm broad and 8 cm high. Its total surface area is
The length, breadth and height of a cuboid are 15 cm, 6 cm, 5 dm respectively. The lateral surface area of the cuboid is
Lateral surface area
A beam 9m long, 40 cm wide and 20 cm high is made up of iron which weight 50 kg per cubic metre. The weight of the beam is
Volume of the beam
weight of the beam
The length of the longest rod that can be placed in a room of dimension \((10m\times10m\times5m) \) is
length of the longest rod
What is the maximum length of a pencil that can be placed in a rectangular box of dimension \((8\ cm\times6\ cm\times5\ cm) \)? Given \(\sqrt5=2.24 \)
Required length
The number of planks of dimension \((4m\times5m\times2m) \) that can be stored in a pit which is 40 m long, 12 m wide and 16 m deep is
Number of planks
How many bricks will be required to construct a wall 8 m long, 6m wide and 22.5 cm thick if each brick measure \((25\ cm\times11.25\ cm\times6\ cm) \)?
Number of bricks
How many persons can be accommodated in a dining hall of dimensions \((20m\times15m\times4.5m) \) assuming that each person requires \( 5\ m^3\) of air?
Number of persons
A river 1.5 m deep and 30 m wide is flowing at the rate of 3 km per hour. The volume of water that runs into the sea per minute is
Volume of the water running into the sea per hour
Water running per minute
The lateral surface of the cube is \(256\ m^2 \). The volume of the cube is
Volume
The total surface area of the cube is \(96\ m^2 \). The volume of the cube is
The length of the longest rod that can fit in a cubical vessel of side 10 cm is
Length of the longest rod
If the length of diagonal of a cube is \(8\sqrt3 \) cm then its surface area is
Length of the longest diagonal
Three cubes of metals with edges 3 cm, 4 cm, 5 cm respectively are melted to form a single cube. The lateral surface area of the new cube is
Let side of the cube
Two cubes have their volumes in the ratio 1:27. The ratio of their surface area is
Surface area
If each side of a cube is doubled then its volume is
original volume
New side
New volume
The diameter of a cylinder is 28 cm and its height is 20 cm. Its CSA is
If the curved surface area of a cylinder is \(1760\ cm^2 \) and its base radius is 14 cm then its height is
The curved surface area of the cylindrical pillar is \(264\ m^2 \) and its volume is \(924\ m^3 \). The height of the pillar is
Volume
The radius of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volume is
Ratio
The surface area of a sphere of radius 14 cm is
Surface area
A conical flask has height 25 cm and base diameter 12 cm water is poured into the flask in a depth of 15 cm. The diameter of the surface of the water is
What is the length of the uniform wire of radius 0.2 cm that can be drawn from a solid sphere of radius 3 cm?
Radius of sphere (r)
Radius of wire (R)
What will be the cost of plastering the inner surface of a wall 28 m deep and 2m in radius at the rate of 25 per sqm?
In the given figure, volume of a square based box is \(500\ cm^3 \) and base length is \(10\ cm \). The height of the box is
The length of a cold storage is double its breadth. Its height is 3m. The area of its four walls (Including doors) is \(108\ m^2 \). What is its volume?
Area of four walls
Volume