Question

Find the ratio of radius of sphere and hemisphere having same total surface area

Answer 1

HEY FRIEND,

LET THE RADIUS OF SPHERE BE ' R '

RADIUS OF HEMISPHERE BE ' r '

TSA OF SPHERE = 4 × π × R²

TSA OF HEMISPHERE = 3 × π × r²


TSA ARE EQUAL , THEREFORE

4 π R² = 3 π r²


R² / r² = 3 / 4

R / r = √3 / √4

R / r = √3 / 2


RATIO IS √3 : 2


HOPE IT HELPS

Answer 2

let us consider r be1 so the ration are as follows
ratio of its radius=TSA of sphere/TSA of hemisphere
=4×22/7×r square/3×22/7×r square
=4/3
the ratio will be 4/3