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**ganesh****Administrator**- Registered: 2005-06-28
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M # 337. A sphere of 30 centimeters radius is dropped into a cylindrical vessel of 80 centimeters, which is partly filled with water. By how many centimeters does the level rise?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 338. A slab of ice 8 inches in length, 11 inches in breadth, and 2 inches thick was melted and solidified in the form of a rod of 8 inches diameter. Find the length of the rod in inches closest to.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 339. A solid sphere of radius 6 centimeters is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 centimeters and its height is 32 centimeters, find the uniform thickness of the cylinder.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 340. A metal pipe of negligible thickness has radius 21 centimeters and length 90 centimeters. Find the outer curved surface area of the pipe in square centimeters.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 341. The sum of radii of two spheres is 10 centimeters and the sum of their volumes is 880 cubic centimeters. What will be the product of their radii?

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 342. If the volume of a sphere is divided by its surface area, the result is 27 centimeters. Find the radius of the sphere.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 343. How many spherical balls can be made out of a lead cylinder 28 centimeters high and with base radius 6 centimeters, each ball being 1.5 centimeter in diameter?

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 344. A spherical ball of lead, 3 centimeters in diameter, is melted and recast into three spherical bass. The diameter of these balls are 1.5 centimeters and 2 centimeters respectively. Find the diameter of the third ball.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 345. The length of a cold storage is double its breadth. Its height is 3 meters. The area of its four walls (including the doors) is 108 square meters. Find its volume.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 345. The length of a cold storage is double its breadth. Its height is 3 meters. The area of its four walls (including the doors) is 108 square meters. Find its volume.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 346. A wooden box of dimensions 8 meters x 7 meters x 6 meters is to carry rectangular boxes of dimensions 8 centimeters x 7 centimeters x 6 centimeters. Find the maximum number of boxes that can be carried in 1 wooden box.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 347. A rectangular piece of paper of dimensions 22 centimeters by 12 centimeters is rolled along its length to form a cylinder. Find the volume of the cylinder so formed in cubic centimeters. Use

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 348. A storage is 15 meters long and 12 meter broad. The sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls. Find the volume of the storage in cubic meters.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 349. A square of side 3 centimeters is cut off from each corner of a rectangular sheet of length 24 centimeters and breadth 18 centimeters and the remaining sheet is folded to form an open rectangular box. Find the surface area of the box.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 350. Water flows through a circular pipe whose internal diameter is 2 centimeters, at the rate of 6 meters per second into a cylindrical tank, the radius of whose base is 60 centimeters. By how much will the level of water rise in 30 minutes?

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 351. The sum and the radius of the base and the height of a solid cylinder is 37 meters. If the total surface area of the cylinder is 1628 square meters, find the volume. Use

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 352. A hemispherical bowl of internal radius 6 centimeters contains alcohol. This quantity of alcohol is filled into small cylindrical shaped bottles of diameter 6 centimeters and height 1 centimeter. How many bottles will be needed to empty the bowl?

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 353. A hollow sphere of internal and external diameters 4 centimeters and 8 centimeters respectively is melted to form a solid cylinder of base diameter 8 centimeters. Find the height of the cylinder approximately.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 354. A flask is the shape of a right circular cone of height 24 centimeters is filled with water. Water is poured in a right circular cylinder whose radius is one-third of the radius of the base of the right circular cone. Find the height of the water in the cylindrical flask.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 355. A solid sphere of radius 6 centimeters is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 centimeters and height is 32 centimeters, find the uniform thickness of the cylinder.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 356. If the areas of three adjacent sides of a cuboid are x, y, and z respectively, find the volume of the cuboid.

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 357. The dimensions of a field are 20 meters by 9 meters. A pit 10 meter long, 4.5 meter wide, and 3 meter deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of the field as a result of this operation?

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**ganesh****Administrator**- Registered: 2005-06-28
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M # 358. A vessel is in the form of an inverted cone. Its height is 11 centimeters and radius of its top, which is open, is 2.5 centimeters. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 centimeter are dropped into the vessel, 2/5 of the water flows out. Find the number of lead shots dropped into the vessel.

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