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## A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water i] displaced out of the cylinder ii] left in the cylinder

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This is one of the important question from the cbse board exam because this question was asked in 2009 cbse ...Read more

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## A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4[2/3] cm and height 3 cm. Find the number of cones so formed.

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In the given problem given shape is sphere.  To find answer of this question need to use sphere volume formula. ...Read more

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Newbie

## A milk container is made of metal sheet in the shape of frustum of a cone whose volume is 1045937 cm³ . The radii of its lower and upper circular ends are 8 cm and 20 cm, respectively. Find the cost of metal sheet used in making the container at the rate of 1.40 per cm².

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This question was asked in 2010 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of ...Read more

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Newbie

## A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³ of water. The radii of the top and bottom circular ends are 20 cm and 12 cm, respectively. Find the height of the bucket.

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In the given problem use π = 3.14 Problem from RS Aggarwal book, problem number 37, page number 829, exercise 17D, ...Read more

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Newbie

## If the radii of the circular ends of a bucket 28 cm high, are 28 cm and 7 cm, then find its capacity and total surface area.

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This is one of the important question from the cbse board exam because this question was asked in 2011 cbse ...Read more

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Newbie

## A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.

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This question was asked in 2012 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of ...Read more

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Newbie

## A metallic solid right circular cone is of height 84 cm and the radius of its base is 21 cm. It is melted and recast into a solid sphere. Find the diameter of the sphere.

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In the given problem shape of the object is cone to find answer of this question need to use cone ...Read more

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Newbie

## The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter. The height of the cone is 2.8 m. Find the outer surface area of the building.

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This is one of the important question from the cbse board exam because this question was asked in 2014 cbse ...Read more

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Newbie

## A bucket of height 24 cm is in the form of frustum of a cone whose circular ends are of diameter 28 cm and 42 cm. Find the cost of milk at the rate of 30 per liter, which the bucket can hold.

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This is the frustum problem, Problem from RS Aggarwal book, problem number 32, page number 829, exercise 17D, chapter volume ...Read more

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Newbie

## A hollow sphere of external and internal diameters 8 cm and 4 cm, respectively is melted into a solid cone of base diameter 8 cm. Find the height of the cone

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This is one of the important question from the cbse board exam because this question was asked in 2013 C ...Read more