Question

Please tell me answer of this question in easy way but Step-by-step
the ratio of the volumes of two squares is 27:64 if the sum of their radii are 28cm what is the radius of each of them respectively?

Answer 1

Answer:

12 cm,16 cm

Step-by-step explanation:

Note: It should be volume of two spheres instead of two squares.

∴ Sum of their radii = 28 cm.

Let the radius of one of the sphere be 'r' cm and the other is (28 - r) cm.

Ratio of volumes = (4/3) πr³ : (4/3) π(28 - r)³

∴ By the given condition,

= [(4/3) πr³/(4/3)π(28-r)³] = 27/64

⇒ (r/28-r)³ = (3/4)³

⇒ r/28-r = 3/4

⇒ 4r = 3(28-r)

⇒ 4r = 84 - 3r

⇒ 7r = 84

⇒ r = 12

Therefore:

⇒ Radius of first sphere = 12 cm.

⇒ Radius of second sphere = (28 - 12) = 16 cm.

Hope it helps!