Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course

Q.

The surface area of a showpiece football with volume 38808 c m 3   will be


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

5544  cm 2  

b

8316  cm 2  

c

4158  cm 2  

d

1386  cm 2   

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We are given a football with volume 38808  cm 3 .  
We know that the surface area of a sphere is 4π r 2   and the volume is 4 3 π r 3 ,   where r is the radius of the sphere.
Since it is given that the volume of the sphere is 38808  cm 3 ,   we can calculate radius of the sphere as,
     4 3 π r 3 =38808 ⇒ 4 3 × 22 7 × r 3 =38808 ⇒ r 3 = 38808×7×3 88 ⇒ r 3 =441×21  
Question ImageWe can calculated surface area, or the curved surface area of a sphere as,
CSA=4π r 2 =4× 22 7 ×21×21 =5544  cm 2  
Therefore the surface area of a showpiece football is 5544  cm 2 .  
Hence, option (1) is correct.
 
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
The surface area of a showpiece football with volume 38808 c m 3   will be