CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 17 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 8:

A solid iron pole consists of a cylinder of height and base diameter , which is surmounted by another cylinder of height and radius . Find the mass of the pole, given that of iron has approximately mass.


For lower cylinder, Base radius

And Height

For upper cylinder, Base Radius

And Height

Volume of the solid Iron pole of lower cylinder of upper cylinder

Question 9:

A solid consisting of a right circular cone of height and radius standing on a hemisphere of radius is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder if the radius of the cylinder is and its height is .

A Solid Consisting of a Right Circular Cone


For right circular cone, Radius of the base

And Height

For Hemisphere, Radius of the base

For right circular cylinder, Radius of the base

And Height

Now, V of water left in the cylinder of right circular cylinder

Question 10:

A spherical glass vessel has a cylindrical neck long, in diameter; the diameter of the spherical part is . By measuring the amount of water it holds, a child finds its volume to be . Check whether she is correct, taking the above as the inside measurements and .


Amount of water it holds

Hence, she is not correct. The correct volume is .