Mathematics
A vessel, in the form of an inverted cone, is filled with water to the brim. Its height is 32 cm and diameter of the base is 25.2 cm. Six equal solid cones are dropped in it, so that they are fully submerged. As a result one-fourth of water in the original cone overflows. What is the volume of each of the solid cones submerged?
Related Questions
The total surface area of a right circular cone of slant height 13 cm is 90π cm2. Calculate :
(i) its radius in cm
(ii) its volume in cm3.
[Take π = 3.14]
The area of the base of a conical solid is 38.5 cm2 and its volume is 154 cm3. Find the curved surface area of the solid.
The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the :
(i) radius of the floor,
(ii) height of the tent,
(iii) length of the canvas required to cover this conical tent if its width is 2 m.
A solid metallic sphere of radius 16 cm is melted to form small identical spheres each of diameter 4 cm. The number of spheres formed is :
64
252
512
1024