a cube and a sphere have equal height find the ratio of their volume
Answers
Height of cube and sphere is same means that the side of a cube is equal to the diameter of shere
a= d
⇒ Volume of sphere : Volume of cube
⇒ (4/3) × π × r³ : a³
⇒ (4/3)× π× r : (2r)³
⇒ (4/3) × π × r³ : 8 × r³
⇒ (4 /3) × (22/7) : 8
⇒ (88 /21 ) : 8
⇒ (11/21) : 1
⇒ 11 : 21
So the answer is 11 : 21
Answer:
Volume of cube = a^3 now h=a =h^3
Volume of sphere = 4/3×22/7 ×( h/2)^3 I have taken r= h/2 because h of sphere =2r now ratio = h^3/4/3×22/7×(h/2)^3. = 21h^3/11h^3=21/11