The radii of the two spheres are in the ratio 4 : 5. Their volume will be in the ratio:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 64 : 125.
Given,
The ratio of the radius of two spheres, r1 : r2 = 4 : 5
We know,
Volume of sphere = (4/3)πr3
According to the question;
Let the radius of the two spheres be, r1 = 4x and r2 = 5x
The ratio of the volume of the two spheres,
⇒ (4/3)πr13 : (4/3)πr23
⇒ r13 : r23
⇒ (4x)3 : (5x)3
⇒ 64x3 : 125x3
⇒ 64 : 125