A sphere and cube are of same height. The ratio of their volume is ?
Answers
⇒ Sphere and cube = same height
TO FIND ;-
⇒ Ratio of their volumes = ?
SOL ;-
In the question it is given that the height of the sphere and cube are same - so this mean that their side of the cube will be also equal to the diametre of the sphere,
⇒ a = d
So to find out the answer for this sum , we need to use the given formula to find out their ratio - that is -
⇒ 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: the answer is 11 : 21
Step-by-step explanation: GIVEN ;-
⇒ Sphere and cube = same height
TO FIND ;-
⇒ Ratio of their volumes = ?
SOL ;-
In the question it is given that the height of the sphere and cube are same - so this mean that their side of the cube will be also equal to the diametre of the sphere,
⇒ a = d
So to find out the answer for this sum , we need to use the given formula to find out their ratio - that is -
⇒ 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
people can follow me for such answers