The curved surface area of a hemisphere is 110.88sq cm and its volume is 155.232cubic cm. Find its radius.

Let the radius of the hemisphere be r.
The formula for the curved surface area (CSA) of a hemisphere is:

CSA=2πr
2
=110.88
The formula for the volume (V) of a hemisphere is:

Volume=
3
2
​
πr
3
=155.232
Dividing the volume by the curved surface area:

CSA
Volume
​
=
2πr
2

3
2
​
πr
3

​
=
3
r
​

Substitute the given values:

110.88
155.232
​
=
3
r
​

1.4=
3
r
​

r=1.4×3=4.2cm