Q. 16

# The surface areas

Given: Surface area ratio of two Spheres is: 16:9

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.

(Surface area of) S1: (Surface area of) S2 = 16:9

4 × π × (r1)2: 4 × π × (r2)2 = 16:9 (here r1 and r2 are the radii of S1 and S2 respectively)

(r1)2: (r2)2 = 16:9

r1: r2 = √16:√9

r1: r2 = 4:3

Now,

Let V1 and V2 be the volumes of the spheres S1 and S2 respectively.

V1:V2 = × π × (r1)3: × π × (r2)3 (here r1 and r2 are the radii of S1 and S2 respectively)

V1:V2 = (r1)3: (r2)3

V1:V2 = (4)3: (3)3

V1:V2 = 64:27

The ratios of the volumes is: 64:27

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigo Marathon Part 245 mins
Trigo Marathon Part 146 mins
Application of Trigo Important Questions44 mins
Chemical Properties of Metal and Non Metal61 mins
Arithmetic Progression and 'nth' Term of AP55 mins
Extraction of Metal56 mins
Purification of Metals60 mins
Introduction of Metal and Non Metal59 mins
Properties of Metal and Non Metal59 mins
Heights and Distances - II45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses