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10th Telangana Board
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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 423 cm and height 3 cm. Find the number of cones so formed.

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Important Questions on Mensuration

MEDIUM
10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Optional Exercise>Q 1
A golf ball has diameter equal to 4.1 cm. Its surface has 150 dimples each of radius 2 mm. The total surface area which is exposed to the surroundings=_____cm2(Assume that the dimples are all hemispherical) π=227.
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Optional Exercise>Q 2
A cylinder of radius 12 cm contains water to a depth of 20 cm. When a spherical iron ball is dropped in to the cylinder, the level of water is raised by 6.75 cm. Find the radius of the ball. π=227
HARD
10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Optional Exercise>Q 3
A solid toy is in the form of a right circular cylinder with a hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and heights of the cylindrical and conical portions are 12 cm and 7 cm respectively. If the volume of the solid toy is k8125 cm3, then find the value of k. π=227
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Optional Exercise>Q 4

Three metal cubes with edges 15 cm,12 cm and 9 cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.

If the diagonal of the cube is 18k cm, then find the value of k.

MEDIUM
10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Optional Exercise>Q 5
A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm How many bottles are required to empty the bowl?