Question #21712

find the volume of spheres whose surface area is 154 cm2

Expert's answer

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) )

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) )

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