Mathematics
Assertion (A): From a solid wooden cylinder of height 15 cm and diameter 14 cm, a hemispherical depression of same base diameter is carved out. The volume of remaining wood is cm3. Reason (R): The volume of a cylinder of height h and radius r is πr2h and the volume of a hemisphere of radius r is πr3.
Related Questions
Assertion (A): From a solid wooden cylinder of height 15 cm and diameter 14 cm, of conical cavity of same height and same base diameter is hollowed out. The volume of the cone is 770 cm3.
Reason (R): The volume of a cylinder of height h and radius r is πr2h.
A cylindrical container is to be made of tin sheet. The height of the container is 1 m and its diameter is 70 cm. If the container is open at the top and the tin sheet costs 300 per m2, find the cost of the tin for making the container.
A cylinder of maximum volume is cut out from a wooden cuboid of length 30 cm and cross section of square of side 14 cm. Find the volume of the cylinder and the volume of wood wasted.