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10th Tamil Nadu Board

IMPORTANT

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If the circumference of a conical wooden piece is $484 cm$ then find its volume when its height is $105 cm$ .

Important Questions on Mensuration

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 4

A conical container is fully filled with petrol. The radius is

10 m

and the height is

15 m

. If the container can release the petrol through its bottom at the rate of

25

cu. meter per minute, in

k

minutes the container will be emptied. Then find the value

k

. Round off your answer to the nearest minute.

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 5

A right-angled triangle whose sides are

6 cm, 8 cm,

and

10 cm

is revolved about the sides containing the right angle in two ways. The difference in volumes of the two solids so formed is

k {cm}^{3}

. Find the value of

k

. (Consider

π = \frac{22}{7}

and write the answer as a fraction in its lowest form)

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 6

The volumes of two cones of same base radius are $3600 {cm}^{3}$ and $5040 {cm}^{3}$ . Find the ratio of heights in the same order. (Write the answer in the format $a : b$ )

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 7

If the ratio of radii of two spheres is

4 : 7

, find the ratio of their volumes in the same order.

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 8

A solid sphere and a solid hemisphere have equal total surface areas. Prove that the ratio of their volumes is

3 \sqrt{3} : 4

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 9

The outer and the inner surface areas of a spherical copper shell are

576 π {cm}^{2}

and

324 π {cm}^{2}

respectively. If the volume of the material required to make the shell is

V {cm}^{3}

, then the value of

V

A π

. Find

A

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 10

A container open at the top is in the form of a frustum of a cone of height

16 cm

with radii of its lower and upper ends are

8 cm

and

20 cm

respectively. The cost of milk which can completely fill a container at the rate of

₹ 40

per litre is

₹ k

. Find the value of

k

. Take

π = \frac{22}{7}

and write the answer in the lowest fraction.

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.3>Q 1

A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter is

14 cm

and the height of the vessel is

13 cm

. If the capacity of the vessel is

V {cm}^{3},

then find the value of

V

(rounded off to two decimal places). Assume

π = \frac{22}{7}

If the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105 cm.

Important Questions on Mensuration

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If the circumference of a conical wooden piece is $484 cm$ then find its volume when its height is $105 cm$ .