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A well of diameter $14 m$ is dug $15 m$ deep. The earth taken out of it has been spread evenly to form circular embankment all around the wall of width $7 m$ . Find the height of the embankment.

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Important Questions on Mensuration

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10th Telangana Board

IMPORTANT

Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 5

A container shaped 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

, making a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream

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Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 6

How many silver coins,

1.75 cm

in diameter and thickness

2 mm

, need to be melted to form a cuboid of dimensions

5.5 cm \times 10 cm \times 3.5 cm

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Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 7

A vessel is in the form of an inverted cone. Its height is

8 cm

and the radius of its top is

5 cm

It is filled with water up to the rim. When lead shots, each of which is a sphere of radius

0.5 cm

are dropped into the vessel,

\frac{1}{4}

of the water flows out. Find the number of lead shots dropped into the vessel.

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Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 8

A solid metallic sphere of diameter

28 cm

is melted and recast into a number of smaller cones, each of diameter

4 \frac{2}{3} cm

and height

3 cm

. Find the number of cones so formed.

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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

=

_____

{cm}^{2}

(Assume that the dimples are all hemispherical)

[π = \frac{22}{7}]

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10th Telangana Board

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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 = \frac{22}{7}]

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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

k \frac{8}{125} {cm}^{3}

, then find the value of

k

[π = \frac{22}{7}]

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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 $18 \sqrt{k}$ cm, then find the value of k.

A well of diameter 14 m is dug 15 m deep. The earth taken out of it has been spread evenly to form circular embankment all around the wall of width 7 m. Find the height of the embankment.

Important Questions on Mensuration

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A well of diameter $14 m$ is dug $15 m$ deep. The earth taken out of it has been spread evenly to form circular embankment all around the wall of width $7 m$ . Find the height of the embankment.