Question

If a sphere has the same curved surface area as total
surface area of cone of vertical height 40 cm and
radius 30 cm, then the radius of the sphere is​

Answer 1

Step-by-step explanation:

Given that

r=30 cm, h=40 cm.

Height of the cone,

l=

r

2

+h

2

=

(30)

2

+(40)

2

=

900+1600

=

2500

=50 cm

Total surface area of cone,

=πr(r+l)

=π30(30+50)

=2400 cm

2

Now, let R is the radius of sphere then,

Surface area of sphere =4πR

2

Now,

Also given that

Surface area of sphere = Total surface area of cone

∴ 4πR

2

=2400

=R

2

=600

=R=10

6.

Hence this the required solution

Hope it's help you ❤❤

Answer 2

Answer:

r = 10 --------------------------