MEDIUM
10th Tamil Nadu Board
IMPORTANT
Earn 100

A cone, a hemisphere, and a cylinder have equal bases. The height of the cone and cylinder are equal and are same as the common radius. Are all three shapes equal in volume?

Important Questions on Mensuration

EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Thinking Corner>Q 1
Give any two real life examples of sphere and hemisphere.
EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Thinking Corner>Q 2
A plane along a great circle will split the sphere into ______ parts.
MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Thinking Corner>Q 3
If the volume and surface area of a sphere are numerically equal, then the radius of the sphere is _____ .
MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Progress Check>Q 1
What is the ratio of volume to the surface area of a sphere?
EASY
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Progress Check>Q 2
The lengths of radius and height of a hemisphere are _____(Equal / different).
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?