a solid cone is 25 cm high at the radius of its base is 50 cm It is a method recast into a solid sphere determine the surface area of sphere
Answers
Answer:
7850 cm²
Step-by-step explanation:
volume of cone =1/3Πr²h
=1/3×3.14.50×50×25
=1/3×3.14×62500
= 1/3×196250
=65416.667 cm³
volume of sphere = volume of cone
4/3Πr³=65416.667
3.14×r³=65416.667 × 3/4
r³= 49062.5/3.14
r³=15625
r³=25³(by cube ,cube is cancel)
r=25cm
surface area of sphere =4Πr²
=4×3.14×25×25
=12.56×625
=7850 cm²