CBSE Class 10-Mathematics: Chapter –13 Surface Areas and Volumes Part 17
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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.
Answer:
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
Answer:
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 .
Answer:
Amount of water it holds
Hence, she is not correct. The correct volume is .