Answer to Question #21712 in Geometry for Sumit paul

Question

find the volume of spheres whose surface area is 154 cm2

Answer 1

Let R - radius of sphere then surface area=4*pi*R^2 inour situation

154=4pi*R^2
R^2=154/(4pi)=77/(2pi)
R=sqrt( 77/(2pi) )
Volume=4/3 *pi*R^3=4/3 *pi*(sqrt( 77/(2pi) ) )^3=4pi/3* 77/(2pi) *sqrt( 77/(2pi) )=154/3 *sqrt( 77/(2pi) )