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*How much ice-cream can be put into a cone with base radius 3.*

- Important Questions for CBSE Class 9 Mathematics Surface Areas and Volumes
- Exam-Style Questions on Mensuration
- 6.E: Gauss's Law (Exercises)

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Find the volume of a sphere whose radius is: i 2 cm ii 3. In the given problem, we have to find the volume of the sphere of given radii. Therefore, the volume of the sphere of radius 2 cm is.

## Important Questions for CBSE Class 9 Mathematics Surface Areas and Volumes

A bricklayer estimates the number of bricks he will need to build a wall by dividing the area of the wall by the area of the face of a brick. Worked Solution. The diagram shows a water tank in the shape of a cylinder.

It has a diameter of 76cm anf a height of 36cm. It is filled at the rate of 0. How long does it take to completely fill the tank? A builder needs to lift a steel block. It is a cuboid with dimensions 2 m by 0. Steel has a density of 7. The builder's lifting gear can lift a maximum load of kg. Can the lifting gear be used to lift the steel block?

Before they were lowered in the depth of the water was 19cm. Calculate the new depth of water in the cylinder when the spheres are fully submerged. Calculate the thickness of the dart board. A yellow equilateral triangle has been painted on a purple sector. The side OC is 20cm and OA is 12cm. The 24 chocolates fit perfectly in the box with each chocolate touching the ones around it or the sides of the box. The sides of the triangle are each 10cm long. The equilateral triangle next to it has sides which are each 3cm more than the length of a side of the square.

The diagram above show the same square and triangle. Three crayons are held together with an elastic band. The diagram below shows the end of the crayons and the elastic band.

Find the ratio of the area of the table top to the area of the card model. Winthrop begins filling the tank with a hose pipe. After 30 minutes there are litres of water in the tank. How many more minutes will it take until the tank is half full? The sphere is to be melted down and remoulded into the shape of a square-based pyramid with a height of The cylinder was melted and recast into a solid cone with a circular base radius, OB where O is the centre of the circle , of 7cm.

The vertex of the cone is the point C. If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged. The exam-style questions appearing on this site are based on those set in previous examinations or sample assessment papers for future examinations by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription. Exam-Style Questions Main Page. Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. IGCSE Core A bricklayer estimates the number of bricks he will need to build a wall by dividing the area of the wall by the area of the face of a brick.

The wall is 16 metres long and 1. The bricks he will use are each 25 centimetres long and 12 centimetres tall.

Calculate an estimate for the number of bricks the bricklayer will need to build the wall. Justify your decision. GCSE Higher A batch of coins is made from an alloy consisting of g of copper mixed with 90g of nickel. The density of copper is 9. The density of nickel is 8. The diagram is not drawn to scale. Each vertex of the square lies on the circumference of the circle. The area of the circle is 64cm 2.

Give your answer in centimetres to three significant figures. IB Studies Twenty four spherical shaped chocolates are arranged in a box in four rows and six columns. Each chocolate has a radius of 1. The second diagram shows a box in the shape of a triangular prism of length 15cm.

The cross section is an equilateral triangle with sides of length 10cm. The box contains cookies. Each cookie is a cylinder of radius 2. You must show all your construction lines.

Each of the crayons has diameter of 10 mm. Find the length of the elastic band in this position Worked Solution. GCSE Higher a Find the area of a regular octagon if the distance from its centre to any vertex is 10cm. Work out the density of the compound material.

IB Analysis and Approaches A metal sphere has a radius 7. IB Studies A solid metal cylinder has a base radius of 5cm and a height of 9cm.

## Exam-Style Questions on Mensuration

Two cubes each of volume 64 cm3 are joined end to end. 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. A toy is in the form of a cone of radius 3. The total height of the toy is

What are the maximum and minimum values of the flux in the preceding question? The net electric flux crossing a closed surface is always zero. True or false? The net electric flux crossing an open surface is never zero. Two concentric spherical surfaces enclose a point charge q. The radius of the outer sphere is twice that of the inner one. Compare the electric fluxes crossing the two surfaces.

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## 6.E: Gauss's Law (Exercises)

Measurement and Geometry : Module 12 Years : PDF Version of module. In the earlier module, Area Volume and Surface Area we developed formulas and principles for finding the volume and surface areas for prisms.

#### Problems on Mensuration adapted from questions set in previous Mathematics exams.

These solutions for Surface Areas And Volumes are extremely popular among Class 10 students for Math Surface Areas And Volumes Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rd Sharma Book of Class 10 Math Chapter 14 are provided here for you for free. We are given a solid sphere with radius cm. From this sphere we have to make spherical balls of radius cm. Let the no. We know, the volume of the solid sphere should be equal to the sum of the volumes of the n spherical balls formed.

In metal matrix composites, a metal is combined with another, often nonmetallic, phase to produce a novel material having attractive engineering attributes of its own. A subject of much research in the s and s, this class of materials has, in the past decade, increased significantly in variety. Copper matrix composites, layered composites, high-conductivity composites, nanoscale Two metal spheres of capacitance C 1 and C 2 carry some charges. They are put in contact and then separated.

Get answer: A hollow metal sphere of radius 6 cm is charged such that the potential on its A hollow charged metal sphere has radius `r`.

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A hollow metal sphere of radius 10cm is charged such that the potential on its surface The potential at the centre of the sphere is 80V because it remains same at Was this answer helpful? if a particle of charge q=+×10−19 C is moved from the sheet to a point P at Customize assignments and download PDF's.

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