the surface area of a sphere is 784 π CM square find its radius
Answers
Answered by
9
Answer:
csa=4×pi×r^2
784/4=pi×r^2
196=pi×r^2
196/22/7=r^2
62.42=r^2
7.9=r
Answered by
6
Given:
The surface area of a sphere is 784π cm².
To find:
The radius.
Solution:
The radius of a sphere is 14 cm.
To answer this question, we will follow the following steps:
First of all, we should know that in a sphere of radius 'r', the surface area is given by using the formula:
Now,
As given,
We have,
The surface area of a sphere = 784π cm²
So,
On solving the above, we get,
On taking square root on both sides, we get,
Hence, the radius of a sphere having a surface area of 784π cm² is 14 cm.
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