Question

find the radius of sphere whose surface area is 154cmsquare

Answer 1

Answer:

answer is in down

Step-by-step explanation:

Radius = 3.5

Answer 2

Answer:

The radius of the sphere is $7$ cm.

Step-by-step explanation:

Given : Surface area of sphere = $154$ $cm^{2}$

To find : The radius of the sphere ?

Solution :

• It is given that the surface area of sphere = $154$ $cm^{2}$
• We have to find the radius of the sphere.
• To find the radius, use the given data.
• The formula for area of the sphere is given by,

         Area of the sphere = $\pi r^{2}$

                          ∴ $154=\frac{22}{7} *r^{2}$

• By transposing $\frac{22}{7}$ to other side, we get

                          ∴ $154*\frac{7}{22} =r^{2}$

                                 ∴ $r^{2} = \frac{1078}{22}$    

                                 ∴ $r^{2} = 49$

• Taking square roots of  both the sides, we get

                                 ∴ $r=\sqrt{49}$

                                 ∴ $r=7$ cm

• ∴ The radius of the sphere is $7$ cm.