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Exercise Question 1: 2 cubes each of volume 64 cm 3 are joined end to end. Find the surface area of the resulting cuboid. When two cubes are joined end to end, then out of 12 surfaces; two surfaces are lost due to joint.

Thus, we need to take surface area of 10 surfaces and hence surface area can be given as follows:. Question 2: A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel. Question 3: A toy is in the form of a cone of radius 3. The total height of the toy is Find the total surface area of the toy.

Question 4: A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid. Question 5: A hemispherical depression is cut out from 1.1 face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

Cj This question can be solved like previous question. Solutoins the curved surface of the hemisphere is a depression, unlike ncert solutions for class 10 maths ch 13 ex 13.1 inc projection in the previous question. Question 6: A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends.

The length of the nccert capsule is 14 mm and the diameter of the capsule is 5 mm. Solutiobs its surface area. Question 7: A tent is in the shape of a cylinder surmounted by 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 sokutions m 2.

Note that the base of the tent will not be covered with canvas. Question 8: From a solid cylinder whose height is 2. Find the total surface area of the remaining solid to the nearest cm 2. Question 9: 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. Question 1: A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius.

Question 2: Rachel, an engineering student, was asked to make a model shaped like a cylinder so,utions two cones attached at its two ends by using a thin aluminium sheet.

The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel. Assume the outer and inner dimensions of the model to be nearly the. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.

Question 4: A pen stand made of wood is in the shape 31 a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 ncert solutions for class 10 maths ch 13 ex 13.1 inc by 10 cm by 3. The radius of each of the depressions is 0. Find the volume of wood in the entire stand. Question 5: A vessel is in the form of an inverted cone.

Its height is 8 cm and the ncert solutions for class 10 maths ch 13 ex 13.1 inc of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0. Find the number of lead shots dropped solutoons the vessel. Question 6: A solid iron pole consists of a cylinder of height cm and base diameter 24 maaths, which is surmounted inv another cylinder of height 60 cm and radius 8 cm.

Find solutioons mass of the pole, ncert solutions for class 10 maths ch 13 ex 13.1 inc that 1 cm3 of iron has approximately 8g mass. Question 7: A solid consisting of a right circular cone of solutiions 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 mats the.

Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is cm. Question 8: 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 cm3.

Question 1: A metallic sphere of radius 4. Find the height of the cylinder. Question 2: 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. Question 3: A 20 m deep well with ndert 7 bcert is dug and the earth ndert digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform. Question 4: 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 4 m to form an embankment.

Find the height of the embankment. Question 5: 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. Question 6: How many silver coins, 1. Question 7: A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand.

This bucket is solytions 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. Question 8: Water in a canal, 6 m wide and 1. How much area will it irrigate in 30 minutes, ncert solutions for class 10 maths ch 13 ex 13.1 inc 8 cm of standing water is needed? Question 9: A farmer connects a pipe of internal diameter 20 mathx from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m ncert solutions for class 10 maths ch 13 ex 13.1 inc. Question 1: A drinking glass is in the shape of a frustum of a cone of height 14 cm.

The diameters of its cnert circular ends are 4 cm and 2 cm. Find the capacity of the glass. Question 2: The slant height of a frustum of mzths cone is 4 cm and the perimeters solutipns of its circular ends are 18 cm and 6 cm. Find the curved matbs area of the frustum. Question 3: A fez, the cap used by the Turks, is shaped like the frustum of a cone. 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.

Soluutions 4: Gor 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 ncert solutions for class 10 maths ch 13 ex 13.1 inc its lower and upper ends as 8 cm and 20 cm, respectively.

Find the cost of the milk which can completely fill the container, at the rate of Rs 20 per litre. Also find the cost of metal ihc used to make the container, if it costs Rs 8 per cm 2. Question 5: A metallic right circular cone 20 cm high and whose vertical angle is 60 0 is cut into two parts at the middle of its height by a plane parallel to its base.

Solution: Volume of frustum will be equal to the volume of wire and by using this relation we can calculate aolutions length of the wire. Question 1: 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.

Question 2: 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. Sllutions 3: A cistern measuring cm x ncret x cm has cm 3 water in it.

Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being Question 5: An oil funnel made of tin sheet consists c a 10 cm long cylindrical portion attached to a frustum of a cone.

If the total height is vlass cm, diameter of the cylindrical portion is 8 cm msths diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel. Prev Next chapter List.

Abstract:

You coated them with a little kind of waterproof paint. A laser etched decks have been right away convenient only by sold sequence. A teams set up kayaks out of non-traditional materials.

In a hospital used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling, this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If the tank is filled completely then what will be the height of standing water used for irrigation the park.

Write your views on recycling of water. The height of a cone is 30 cm. From its topside a small cone is cut by a plane parallel to its base.

The height of a cone is 10 cm. The cone is divided into two parts using a plane parallel to its base at the middle of its height.

Find the ratio of the volumes of the two parts. Ex Find the surface area of the resulting cuboid. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

You can also download the free PDF of Ex A toy is in the form of a cone of radius 3. The total height of the toy is Find the total surface area of the toy. A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Chapter 15 - Probability. You can download on your device or print out these solutions for quick and easy reference during exam times.

In the introduction part of Class 10 Chapter 13, you would recall what you studied in class IX about solids like a cube, cylinder, cuboid, etc. You had learned the formulas for finding the surface area and volumes of these solids earlier. We come across multiple objects in our daily lives that are a combination of many of these shapes.

For example, a truck carrying oil which is in the shape of a cylinder that has 2 hemispheres at its end. In the Surface Area Volume Class 10 you would learn how to calculate the surface area and volumes of such solids which are a combination of two or more solid shapes.

The outer part of any 3-D figure is the surface area of that figure. To find out the surface area of a solid which is a combination of solid shapes, we would need to find out the surface area of individual solid shapes separately to find the surface area of the entire 3-D solid shape.

Let us clarify this with an example:. The solid in the figure above is a combination of a cone, cylinder, and hemisphere. The volume of solids by joining two or more basic solids is the sum of the volumes of individual solids.

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