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What is the diameter of hemisphere? Question 5. If the total surface area of a solid hemisphere is cm 2 , find its volume. Question 6. Two cubes, each of side 4 cm are joined end to end. Find the surface area of the resulting cuboid. Question 7. If the volume of bucket is cm 3 , then find the value of r. Question 8. Two cubes each of volume 27 cm 3 are joined end to end to form a solid.
Question 9. The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is sq. Question Byjus Class 12 Maths Important Questions For Pdf A right circular cone of radius 3 cm, has a curved surface area of Find the volume of the cone. A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder of same diameter.
The diameter of the hemispherical bowl is 14 cm and the total height of the vessel is 13 cm. Find the total inner suface area of the vessel. A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius. The radius of hemisphere is 3.
Find the height of the toy. If the lower part of each tent is of the form of a cylinder of diameter 4. A cubical block of side 10 cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? In Figure, is a decorative block, made up of two solids-a cube and a hemisphere. The base of the block is a cube of side 6 cm and the hemisphere fixed on the top has a diameter of 3. Find the total surface area of the block.
A conical vessel, with base radius 5 cm and height 24 cm, is full of water. This water is emptied into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the cylindrical vessel. Let H be the height of rise in water in cylindrical vessel and R be the radius, i.
The height of the mugs is 10 cm. From a solid cylinder of height 7 cm and base diameter 12 cm, a conical cavity of same height and same base diameter is hollowed out. Find the total surface area of the remaining solid. A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3. A solid cone of base radius 10 cm is cut into two parts through the mid-point of its height, by a plane parallel to its base.
Find the ratio in the volumes of the two parts of the cone. The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left. In Figure, from the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to the base.
Find the surface area of the remaining block. A toy is in the shape of a solid cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 21 cm and 40 cm respectively, and the height of cone is 15 cm, then find the total surface area of the toy. A cone of height 20 cm and radius of base 5 cm is made up of modelling clay.
A child reshapes it in the form of a sphere. Find the diameter of the sphere. A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, then find the radius and slant height of the heap.
A solid metallic sphere of diameter 8 cm is melted and drawn into a cylindrical wire of uniform width. If the length of the wire is 12 m, find its width. A well of diameter 4 m is dug 21 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 3 m to form an embankment. Find the height Basic Questions Of Maths For Class 8 Uk of the embankment. A sphere of diameter 12 cm, is dropped in a right circular cylindrical vessel, partly filled with water. Find the diameter of the cylindrical vessel.
A solid sphere of radius Find the number of cones so formed. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel. Find the diameter of the sphere and hence find its surface area. A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep.
If the water flows through the pipe at the rate of 4 km per hour, in how much time will the Ch 2 Class 10 Maths Important Questions Samples tank be filled completely? Water in a canal, 6 m wide and 1. How much area will it irrigate in 10 minutes, if 8 cm of standing water is needed for irrigation? A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm.
An open metal bucket is in the shape of a frustum of a cone of height 21 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. A toy is in the form of a cone mounted on a hemisphere of same radius 7 cm. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm.
Find its surface area. A tent is in the shape of a cylinder surmounted buy a conical top. If the height and diameter of the cylindrical part are 2. Also, find the cost of the canvas of the tent at the rate of Rs. Note that the base of the tent will not be covered with canvas. From a solid cylinder whose height is 2. Find the total surface area of the remaining solid to the nearest cm 2.
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3. Derive the formula for the curved surface area and total surface area of the frustum of a cone, given to you in Section A bucket made up of metal sheet is in the form of frustum of a cone.
Its depth is 24 cm and the diameters of the top and bottom are 30 cm and 10 cm respectively.
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