MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 3

MEDIUM

10th CBSE

IMPORTANT

Earn 100

A spherical ball of radius $3 cm$ is melted and recast into three spherical balls. The radii of the two of the balls are $1.5 cm$ and $2 cm$ respectively. If the diameter of the third ball is $D cm$ , then find the value of $D$ .

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Important Questions on Surface Areas and Volumes

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 4

2.2 {dm}^{3}

of brass is to be drawn into a cylindrical wire of

0.25 cm

diameter. If the length of the wire is

L m

, then find the value of

L

. Take

π = \frac{22}{7}

.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 5

A solid cylinder

2 cm

in diameter must be taken to recast into a hollow cylinder of length

16 cm,

external diameter

20 cm

and thickness

2.5 mm

. If the length of the solid cylinder was

l cm

, then find the value of

l

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 6

A cylindrical vessel having the diameter equal to its height is full of water which is poured into two identical cylindrical vessels with diameter

42 cm

and height

21 cm

which are filled completely. If the diameter of the cylindrical vessel is

k cm

, then find the value of

k

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 7

50

circular plates each of diameter

14 cm

and thickness

0.5 cm

are placed one above the other to form right circular cylinder. If its total surface area is

k {cm}^{2}

, then find the value of

k

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 8

25

circular plates each of radius

10.5 cm

and thickness

1.6 cm

are placed one above the other to form a solid circular cylinder. Find the curved surface area and volume of the cylinder so formed.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 9

Find the number of metallic circular discs with

1.5 cm

base diameter and height

0.2 cm

to be melted to form a right cylinder of height

10 cm

and diameter

4.5 cm

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 10

How many spherical lead shots each of diameter

4.2 cm

can be obtained from a solid rectangular lead piece with dimensions

6 cm \times 42 cm \times 21 cm

?

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 11

How many spherical lead shots of diameter

4 cm

can be made out of a solid cube of lead whose edge measures

44 cm

.(Take

π = \frac{22}{7}

)