Question

If the surface area of sphere is 346.5cm2 calculate its radius and the volume

Answer 1

surface area of sphere = 4πr^2
therefore A/Q
4πr^2 = 346.5
r^2 = 213444
r = √213444 = 462 cm
volume = 4πr^3 / =(4*22/7*462*462*462) /3
= 413227584 cm^3

Answer 2

Solutions :-


Given :

Surface area of the sphere = 346.5 cm²

Let the radius be r


Find the radius of sphere :-

=> 4πr² = 346.5
=> 4 × 22/7 × r² = 346.5
=> r² = (346.5 ×7)/(4×22)
=> r² =27.5625
=> r =5.25 cm


Find the volume of sphere :-

Volume = 4/3 π r³
= 4/3 × 22/7 × (5.25)³
= 606.375 cm³


Hence,
Radius of sphere = 5.25 cm
Volume of sphere = 606.375 cm³