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A solid iron pole consists of a cylinder of height $220 c m$ and base diameter $24 c m$ , which is surmounted by another cylinder of height $60 c m$ and radius $8 c m$ . Find the mass of the pole, given that $1 {c m}^{3}$ of iron has approximately $8 g$ mass. (Use $π = 3.14$ )

Important Questions on Surface Areas and Volumes

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MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.2>Q 7

A solid consisting of a right circular cone of height

120 c m

and radius

60 c m

standing on a hemisphere of radius

60 c m

is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is

60 c m

and its height is

180 c m

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MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.2>Q 8

A spherical glass vessel has a cylindrical neck

8 c m

long,

2 c m

in diameter; the diameter of the spherical part is

8.5 c m

. By measuring the amount of water it holds, a child finds its volume to be

345 c m^{3}

. Check whether she is correct, taking the above as the inside measurements, and

π = 3.14

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MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.3>Q 1

A metallic sphere of radius

4.2 c m

is melted and recast into the shape of a cylinder of radius

6 c m

. Find the height of the cylinder.

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MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.3>Q 2

Metallic spheres of radii

6 c m, 8 c m

and

10 c m

respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.

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MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.3>Q 3

20 m

deep well with diameter

7 m

is dug and the earth from digging is evenly spread out to form a platform

22 m

14 m

. Find the height of the platform.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.3>Q 4

A well of diameter

3 m

is dug

14 m

deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width

4 m

to form an embankment. Find the height of the embankment.

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MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.3>Q 5

A container shaped like a right circular cylinder having diameter

12 c m

and height

15 c m

is full of ice cream. The ice cream is to be filled into cones of height

12 c m

and diameter

6 c m

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

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10th Assam Board

IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 13 - Surface Areas and Volumes>Exercise 13.3>Q 6

How many silver coins,

1.75 c m

in diameter and of thickness

2 m m

, must be melted to form a cuboid of dimensions

5.5 c m \times 10 c m \times 3.5 c m

A solid iron pole consists of a cylinder of height 220cm and base diameter 24cm, which is surmounted by another cylinder of height 60cm and radius 8cm. Find the mass of the pole, given that 1cm3 of iron has approximately 8g mass. (Use π=3.14)

Important Questions on Surface Areas and Volumes

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A solid iron pole consists of a cylinder of height $220 c m$ and base diameter $24 c m$ , which is surmounted by another cylinder of height $60 c m$ and radius $8 c m$ . Find the mass of the pole, given that $1 {c m}^{3}$ of iron has approximately $8 g$ mass. (Use $π = 3.14$ )