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10th CBSE

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A solid metallic sphere of radius $5.6 cm$ is melted and solid cones each of radius $2.8 cm$ and height $3.2 cm$ are made. Find the number of such cones formed.

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Important Questions on Surface Areas and Volumes

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 21

A $5 m$ wide cloth is used to make a conical tent of base diameter $14 m$ and height $24 m$ . If the cost of the cloth used at the rate of $₹ 25$ per metre is $₹ k$ , then find the value of $k$ .

(Use $π = \frac{22}{7}$ )

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10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 22

Sushant has a vessel, of the form of an inverted cone, open at the top, of height

11 cm

and radius of top as

2.5 cm

and is full of water. Metallic spherical balls each of diameter

0.5 cm

are put in the vessel due to which

{(\frac{2}{5})}^{t h}

of the water in the vessel flows out. Find how many balls were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds.

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10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 23

A solid cuboid of iron with dimensions

53 cm \times 40 cm \times 15 cm

is melted and recast into a cylindrical pipe. The outer and inner diameters of pipe are

8 cm

and

7 cm

respectively. Find the length of the pipe. (Take

π = \frac{22}{7}

)

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10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 24

Water is flowing at the rate of

2.52 km / h

through a cylindrical pipe into a cylindrical tank, the radius of the base is 40 cm .If the increase in the level of water in the tank, in half an hour is 3.15 m ,find the internal diameter of the pipe.

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10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 25

A hemispherical bowl of internal radius

9 cm

is full of water. Its contents are emptied into a cylindrical vessel of internal radius

6 cm

. Find the height of water in the cylindrical vessel.

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10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 26

A hemispherical tank, full of water, is emptied by a pipe at the rate of

25 / 7

litres per second. How much time will it take to empty half the tank if the diameter of the base of the tank is

3 m ?

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10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 27

The rainwater from a roof of

44 m \times 20 m

drains into a cylindrical tank having diameter of base

4 m

and height

3.5 m .

If the tank is just full, find the rainfall in

cm .

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 28

The rain water from a

22 m \times

20 m

roof drains into a cylindrical vessel of diameter

2 m

and height

3.5 m .

If the rain water collected from the roof fills

\frac{4}{5}

th of the cylindrical vessel, then find the rainfall in centimetres.

A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed.

Important Questions on Surface Areas and Volumes

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A solid metallic sphere of radius $5.6 cm$ is melted and solid cones each of radius $2.8 cm$ and height $3.2 cm$ are made. Find the number of such cones formed.