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How much ice cream can put into a cone of base radius 3.5 cm and height 12 cm?
Total surface area of a cube is \(726\ cm^2 \). The length of its edge is
Two cubes of edge 6 cm are joined to form a cuboid. The total surface area of the cuboid is
The edge of the cube if its volume is \(1331\ cm^3 \) is
If in a cylinder, radius is doubled and height is halved its curved surface area is
Radius , height
CSA
The radii of two cylinders of the same height are in the ratio 2:3, the ratio of their volumes is
Find the area of the sheet raquired to make closed cylindrical vessel of height 1m and diameter 140 cm
The volume of cone of radius \(\dfrac{r}{2} \) and height ‘2h’ is
Volume of cone
How many balls each of radius 2 cm can be made from a solid sphere of lead of radius 8 cm?
Number of balls
If the volume of a sphere is numerically equal to its surface area the diameter of the sphere is
Diameter
The outer and inner radii of a hollow sphere are 12 cm and 10 cm. The volume is
The length of the longest pole that can be put in a room of dimensions \(10m\times10m\times5m \) is
Required length
The capacity in litres of a conical vessel having height 8 cm and slant height 10 cm is
The surface area of a hemispherical dome of a temple with radius 14 m to be white washed from out side is
Surface area
A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder is
Volume of cylinder
A shotput is a metallic sphere of radius 4.9 cm. If the density of the metal is \(7.8\ g/cm^3 \). The mass of the shotput is
Volume of the sphere
Density
Mass
The curved surface area of a cylinder is \(176\ cm^2 \) and area of the base is \(38.5\ cm^2 \). The volume of the cylinder is
Volume
The diameter of a roller is 42 cm and its length is 120 cm. It takes 500 complete revolution to move once to land a playground. The area of the ground is
Area of the playground
Curved surface area of cylindrical reservoir 12 m deep is plastered from inside with concrete mixture at the rate of \(\mathrm{Rs.\ 15\ per\ m^2} \). If the total payment is Rs. 5652, the capacity of the reservoir is
How many metres of 5m wide cloth will be required to make a conical tent of radius 3.5 m and height 12 m?
Length
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height?
Diameter of cylinder
Total increase in height
Percentage
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is
Diameter of the ball
Radius
Volume
The radii of the ends of a frustum of a cone 40 cm high are 20 cm and 11 cm. Its slant height is
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is
If the slant height of the frustum of a cone is 10 cm and the perimeters of its circular base are 18 cm and 28 cm respectively. The CSA of the frustum is
Let and be the radii of the frustum of the cone
and
and
and
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and height of the cone is equal to its radius. The volume of the solid is
If the total surface area of a solid hemisphere is \(462\ cm^2 \). The volume is
The dimension of a solid iron cuboid are \(4.4\ m\times 2.6\ m\times1.6 \ m \). It is melted and react into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. The length of the pipe is.
Volume of cuboid
Volume of material used
A/Q
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and base is of radius 3.5 cm. The total surface area is
TSA = CSA of cylinder + 2 CSA of hemisphere
A glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. The capacity of the glass is
Capacity of the glass