Question

The surface area of a sphere is 346.5 cm 2 .Find its volume .

Answer 1

surface area of sphere=4(pi)(square of radius)
346.5=88/7(square of radius)
2425.5/88=square of radiyus
27.5625=square of radius
radius =root of 27.5625
radius= 5.25cm

volume=4/3(pi)(cube of radius)
volume=346.5x5.25/3
volume=606.375cm3

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,
Volume of sphere = 606.375 cm³