HARD
10th Tamil Nadu Board
IMPORTANT
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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.

Important Questions on Mensuration

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 cm3. Find the value of k. (Consider π=227 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 cm3and 5040 cm3. 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.
MEDIUM
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 33:4.
MEDIUM
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 576π cm2 and 324π cm2 respectively. If the volume of the material required to make the shell is V cm3, then  the value of V is Aπ. Find A.