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All imterview are solved in an easy way, with video explanation of each question. Or you can do the chapter from Concept Wise. In concept wise, each chapter is divided into some concepts. First concept is explained, and then questions of the concept is solved.

On signing up you are confirming that you have read and agree to Terms of Service. We have studied Surface Area and Volumes in Class interiewwhere we looked at the formulas of Area and Volume of Different Figures In ch 13 maths class 10 ncert solutions teachoo interview chapter, we will Surface Area of Combination of Solids Like a hemisphere on top of a cuboid, or a capsule Similarly, we will find Volume of Combination of Solids Then, we will see what happens when we convert one solid shape into another like Cone to Sphere What a ch 13 maths class 10 ncert solutions teachoo interview of a right circular cone is Deriving formulas for Surface Area and Volume of Frustum and then doing some questions on frustum Click on an exercise link below to start doing the chapter from the NCERT.

Click on a link below to begin. Serial order wise Ex Ex Surface Area - Added. Surface Area - Subtracted. Volume - Added. Volume - Subtracted. Conversion of one shape to. Frustum of a cone - Area. Frustum of a cone - Volume. Teachoo is free. Login to view more pages. Or login Sign In.

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A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3. The radius of each of the depressions is 0. Find the volume of wood in the entire stand see figure. A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm.

It is filled with water upto the brim. When lead shots, each of which is a sphere of radius 0. Find the number of lead shots dropped in the vessel. A solid iron pole consists of a cylinder of height cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm 3 of iron has approximately 8 g mass.

A solid consisting of a right circular cone of height cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom.

Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is cm. A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8. By measuring the amount of water it holds, a child finds its volume to be. A metallic sphere of radius 4. Find the height of the cylinder. Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere.

Find the radius of the resulting sphere. Let r1, r2 and r3 be the radius of given three spheres and R be the radius of a single solid sphere. A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform. A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4m to form an embankment.

Find the height of the embankment. A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream. Let the height and radius of ice cream container cylinder be h1 and r1. How many silver coins, 1.

We know that, every coin has a shape of cylinder. Let radius and height of the coin are r1 and h1 respectively. 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, find the radius and slant height of the heap.

Let the radius and slant height of the heap of sand are r and l. Water in a canal, 6 m wide and 1. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed? A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep.

A drinking 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. Find the capacity of the glass. The slant height of a frustum of a cone is 4 cm and the perimeters circumference of its circular ends are 18 cm and 6 cm.

Find the curved surface area of the frustum. Let the slant height of the frustum be l and radius of the both ends of the frustum be r1 and r2. A fez, the cap used by the turks, is shaped like the frustum of a cone see figure. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.

Let the slant height of fez be l and the radius of upper end which is closed be r1 and the other end which is open be r2. A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively.

Also find the cost of metal sheet used to make the container. Let h be the height of the container, which is in the form of a frustum of a cone whose lower end is closed and upper end is opened. Also, let the radius of its lower end be r1 and upper end be r2. Let r1 and r2 be the radii of the frustum of upper and lower ends cut by a plane. A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm and diameter 10 cm, so as to cover the curved surface of the cylinder.

Find the length and mass of the wire, assuming the density of copper to be 8. When a wire is one round wound about a cylinder, it covers a 3 mm of length of the cylinder. A right triangle, whose sides are 3 cm and 4 cm other than hypotenuse is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. Click on any link below to start studying the chapter.

Serial order wise Ex Ex Area of sector of circle. Area of segment of circle and length of arc. Area of combination of figures : circle based. Area of combination of figures : sector based. Area of combination of figures : segment based. Teachoo is free. Login to view more pages.




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