MEDIUM
10th West Bengal Board
IMPORTANT
Earn 100

A right circular cylinder of length 35 ft and radius 5 ft. From the piece, a rectangular parallelepiped of the square base is to be formed. How many cubic feet of wood will remain? How much wood was spent from the log?

Important Questions on Miscellaneous Exercise : Mensuration

MEDIUM
10th West Bengal Board
IMPORTANT
A log in the form of the rectangular parallelepiped of the length 18 decimetre and square base whose side is 213 decimetre. From the log, a maximum right circular cylinder is to be formed. Find the volume of the remaining wood in cubic decimetres.
HARD
10th West Bengal Board
IMPORTANT
By melting a solid sphere of a 6 cm radius a hollow cylinder of external radius 4 cm and uniform thickness is formed. If the height of the cylinder is 72 cm, then what is the thickness of the cylinder?
MEDIUM
10th West Bengal Board
IMPORTANT

The height of a hollow circular cylinder open at both ends is 36 cm. The thickness of the cylinder is 1 cm and the external diameter is 10 cm. If the area of the whole surface of the hollow cylinder is k cm2, then find the value of k (correct up to two decimal places).

EASY
10th West Bengal Board
IMPORTANT
If a solid sphere of radius r units be melted to make a solid right circular cone of height r units, then show that the radius of the base of the cone is 2r.
MEDIUM
10th West Bengal Board
IMPORTANT
A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by h cm. Find the value of h.
EASY
10th West Bengal Board
IMPORTANT
The area of whole surface of a cube and a sphere are equal. Find the ratio of their volumes.
MEDIUM
10th West Bengal Board
IMPORTANT
The ratio of the weight of two-sphere is 8:17 and the ratio of the weight of each 1 cc of material is 289:64. What is the ratio of the radius of two spheres?
MEDIUM
10th West Bengal Board
IMPORTANT
A right circular cone whose base radius is 4 cm and height is 8 cm is inscribed in a sphere of radius 5 cm. What is the ratio of the volume of the cone to the volume of the sphere?