Question

1) Volumes of two spheres are in the ratio 8:27. find their radii if one radius is greater than
second by 5 cm
​

Answer 1

Answer:

volume of 1st sphere / volume of 2nd sphere = 2/3πr cube / 2/3πR cube

= 8/27 = r cube / R cube

=cube√8 /cube√27 = r/R

= 2/3 = r/R

r:R =2:3

Answer 2

$\mathbf{\color{purple}{\huge{✮}}}\mathbf{\blue{\huge{A}}}\mathbf{\color{aqua}{\huge{N}}}\mathbf{\green{\huge{S}}}\mathbf{\color{yellow}{\huge{W}}}\mathbf{\orange{\huge{E}}}\mathbf{\red{\huge{R}}}\mathbf{\color{maroon}{\huge{✮}}}$

Solution :-

Volume of 1st sphere / volume of 2nd sphere = 2/3πr cube / 2/3 πr cube

= 8/27 = r cube / R cube

= Cube ✓8/ cube ✓27 = r/R

= 2/3 = r/R

r:R = 2: 3

$\huge{\underline{\boxed{\purple{{★ Hence \: Verified ★}}}}}$