A right circular metal cone is 8cm height and 4 cm in diameter at the base is melted and casted into sphere. Determined the radius of sphere
Answers
Answered by
3
Answer:
2 cm
Step-by-step explanation:
Given--->
----------
Height of cone = 8cm
diameter of base of cone = 4cm
To find --->
-----------
Radius of sphere
Solution--->
--------------
Radius of cone= 4 / 2
= 2 cm
Volume of cone = 1/3 π r² h
= 1/ 3 π (2)² 8
= 32/3 π cm³
Let radius of sphere be
Volume of sphere =( 4/3 ) π r³ cm³
Since cone is melted to form a sphere
So
Volume of sphere = Volume of cone
=> 4/3 π r³ = 32/3 π
=> r³ = 8
=> r³ = 2³
=> r = 2 cm
Radius of sphere = 2cm
Answered by
19
2cm
#answerwithquality #bal
Similar questions