Question

the surface area of a sphere is the
same as the CSA of a cone. having the
radius of the base has 150 cm and
height 300 cm.Find the radius of the
sphere​

Answer 1

Answer:

The radius of a sphere is 77.45 cm.

Step-by-step explanation:

Let radius of sphere be 'r', then

Surface area of sphere = Curved surface area of cone

=4πr

2

=πRl=πR

R

2

+h

2

⇒4πr

2

=π×(120)

(120)

2

+(160)

2

⇒r

2

=

4

120

×200=6000⇒r=

6000

=77.45cm