Q. 305.0( 4 Votes )

# The volumes of tw

Answer :

Given: Volume ratio of two Spheres is: 64:27

Volume of the Sphere is: × π × r3 (where r is radius of sphere)

Surface area of the sphere is: 4 × π × r2 (where r is radius of sphere)

Let S1 and S2 be two different spheres.

(Volume of) S1: (Volume of) S2 = 64:27

× π × (r1)3: × π × (r2)3 = 64:27 (here r1 and r2 are the radii of S1 and S2 respectively)

(r1)3: (r2)3 = 64:27

r1: r2 = 64:27

r1: r2 = 4:3

Now,

Let SA1 and SA2 be the surface areas of the spheres S1 and S2 respectively.

SA1:SA2 = 4 × π × (r1)2:4 × π × (r2)2 (here r1 and r2 are the radii of S1 and S2 respectively)

SA1:SA2 = (r1)2: (r2)2

SA1:SA2 = (4)2: (3)2

SA1:SA2 = 16:9

The ratio of the Surface area of spheres is: 16:9

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