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Calculate the length of the altitude of the rhombus. Question 9. Question Are the two triangles similar? Find whether XY BC or not. Find the height of the wall where the top of the ladder touches it. DF OC Proof. A vertical pole of length 8 m casts a shadow 6 cm long on the ground and at the same time a tower casts a shadow 30 m long.
Find the height of tower. State whether the given pairs of triangles are similar or not. In case of similarity mention the criterion. CP Hence Proved. 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 Byjus Class 12 Maths Important Questions English 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.
If the total height of the toy is 31 cm, find its total surface area. In Figure, a tent is in the shape of a cylinder surmounted by a conical top of same diameter. If the height and diameter of cylindrical part are 2. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7 cm and the height of the cone is equal to its diameter.
Find the volume of the solid. How much time will it take to empty half the tank if the diameter of the base of the tank is 3 m?
Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0. Determine the rise in level of water in the tank in half an hour. Find the rise in the level of water in the vessel. From a solid cylinder of height 2. Water is flowing at the rate of 2. If the increase in the level of water in the tank, in half an hour is 3.
From each end of a solid metal cylinder, metal was scooped out in hemispherical form of same diameter. The height of the cylinder is 10 cm and its base is of radius 4.
The rest of the cylinder is melted and converted into a cylindrical wire of 1. Find the length of the wire. A bucket open at the top is in the form of a frustum of a cone with a capacity of The radii of the top and bottom circular ends are 20 cm and 12 cm respectively.
Find the height of the bucket and the area of metal sheet used in making the bucket. A container shaped like a right circular cylinder having base radius 6 cm and height 15 cm is full of ice-cream. The ice-cream is to be filled into cones of height 12 cm and radius 3 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream. A military tent of height 8. Find the length of the canvas used in making the tent, if the breadth of the canvas is 1.
A well of diameter 4 m is dug 14 m deep. The earth taken out is spread evenly all around the well to form a 40 cm high embankment. Find the width of the embankment. A tent consists of a frustum of a cone, surmounted by a cone. If the diameter of the upper and lower circular ends of the frustum be 14 m and 26 m respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of canvas required to make the tent.
Assume that the radii of the upper circular end of the frustum and the base of surmounted conical portion are equal. In what time will the level of Ch 4 Maths Class 10 Important Questions Kit water in the pond rise by 21 cm? How long will it take to fill the empty tank? A drinking glass is in the shape of the frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass. A bucket open at the top, and made up of a metal sheet is in the form of a frustum of a cone.
The depth of the bucket is 24 cm and the diameters of its upper and lower circular ends are 30 cm and 10 cm respectively. Find the cost of metal sheet used in it at the rate of 10 per cm 2. The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
Sushant has a vessel, of the form of an inverted cone, open at the top, of height 11 cm and radius of top as 2. Metallic spherical balls each of diameter 0. Practice all the case study based questions provided below to prepare well for your Maths exam. The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola.
In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms. An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses.
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