Question

find the radius of sphere if total surface area is 176/21 is greater than its volume​

Answer 1

Answer:

Let the radius of the sphere be R, then it's volume=(4/3)πR^3 and surface area=4πR^2. It is given that

4πR^2 - (4/3)πR^3=176/21

(4πR^2){1-R/3}=176/21

R^2(3-R)=(176×3/21)/4π=2

3R^2-R^3-2=0

R^3-3R^2+2=0

By reminder theorem method, take R=1, it satisfies, this equation, so R =1