36 cm is 88 cm and 98 CM that diagonals of cuboid melted and recast into a sphere that find the diameter of sphere
Answers
Answered by
5
Answer:
Step-by-step explanation:
The formula of the volumes of the two shapes is as follows.
Volume of a cuboid = length × width × height.
Volume of a sphere = 4/3 × pie × r^3
Volume of the cuboid =
36 × 88 × 98 = 310464 cubic meters.
The cuboid is melted to form a sphere.
The volume of the sphere equals to volume of the cuboid.
Hence :
310464 = 4/3 × 22/7 × r^3
r^3 = 310464 × 3/4 × 7/22
r^3 = 74088
r = cube root of 74088
r = 42
r = radius of the sphere.
Diameter = 2r
= 2 × 42 = 84 m
Similar questions