Mathematics Standard 10>Chapter 7 - Mensuration>Progress Check>Q 2

EASY

10th Tamil Nadu Board

IMPORTANT

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The lengths of radius and height of a hemisphere are (Equal / different).

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Important Questions on Mensuration

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Progress Check>Q 3

The volume of a sphere is the product of its surface area and _____.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 1

A

14 m

deep well with inner diameter

10 m

is dug and the earth taken out is evenly spread all around the well to form an embankment of width

5 m

. Find the height of the embankment.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 2

A cylindrical glass with diameter

20 cm

has water to a height of

9 cm .

A small cylindrical metal of radius

5 cm

and height

4 cm

is immersed in it completely. Calculate the raise of the water in the glass in

cm

?

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.2>Q 3

If the circumference of a conical wooden piece is

484 cm

then find its volume when its height is

105 cm

.

MEDIUM

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.

MEDIUM

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)

MEDIUM

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 $a : b$ )

MEDIUM

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.