Mathematics
By applying force on an uniform metallic wire, the wire is extended four times along its length with same width all around. Then :
(i) The volume of metal in both the cases is same.
(ii) The surface area of solid wires in both the cases is same.
Which of the above statements is/are true?
only (i)
only (ii)
both (i) and (ii)
neither (i) nor (ii)
Related Questions
A cone and a sphere have equal volumes. If height of the cone = radius of the sphere = 10 cm, the radius of the cone is :
40 cm
10 cm
30 cm
20 cm
A solid metal cuboid with dimensions 11 cm, 18 cm and 8 cm is melted and identical solid spheres, each of radius 1 cm, are formed. The number of spheres formed is :
378
1134
1512
none of these
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm ?
A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
(Answer correct to the nearest integer)