wiz-icon
MyQuestionIcon
MyQuestionIcon
531
You visited us 531 times! Enjoying our articles? Unlock Full Access!
Question

What will be the diameter of the sphere whose surface area is 616 cm2?

A
7 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
14 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
28 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
142 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 14 cm
The figure of a sphere with centre at O and diameter AB can be depicted as follows:


It can be clearly observed that the radius is half the diameter, i.e., r=d2, where r is the radius and d is the diameter of sphere.

The formula used to calculate the surface area of the sphere is 4πr2. It is given that the surface area is 616 cm2, therefore the radius of sphere can be calculated as

Surface area of sphere=4πr2616=4(227)r2r2=6164×722r2=49r=7

Substitute the value of r in the formula r=d2, to obtain the value of diameter of sphere, i.e.,
7=d2d=7×2=14
Hence, the diameter of the given sphere is 14 cm.


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Sphere and its Surface Area
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon