To understand what has been discussed. let us consider some examples.
Example 8: A cene of height 24 cm and radius of base 6 cm is made up of modelling
clay. A child reshapes it in the form of a sphere. Find the radius of the sphere.
Answers
Given : A cone of height 24 cm and radius of base 6 cm is made up of modelling clay.
Child reshapes it in the form of a sphere.
To Find : the radius of the sphere
Solution:
Cone Molded using clay and reshaped into sphere
Volume of cone = Volume of sphere
Volume of cone = (1/3)πr²h
r = radius of cone = 6 cm
h = height of cone = 24 cm
Volume = (1/3)π * 6² * 24
= 288π cm³
Volume of sphere = (4/3) πR³
R = Radius of sphere
= (4/3)πR³
(4/3)πR³ = 288π
=> R³ = 216
=> R = 6 cm
Radius of Sphere = 6 cm
Learn More:
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a ...
https://brainly.in/question/471385
A solid cube made of steel is melted and recast such that its length ...
https://brainly.in/question/13647177
A number of small metal disk of diameter 2cm and thickness 0.5cm ...
https://brainly.in/question/14818078