The volume of a right circular cylinder of base radius r is obtained by multiplying its curved surface area by:
- A2
r
- Br
2
- C2r
- D2
r
2
Solution & Step-by-step Explanation
Let the radius of the right circular cylinder be r and its height be h.
The formula for the volume of a cylinder (V) is:
V=πr
2
h
The formula for the curved surface area (CSA) of a cylinder is:
CSA=2πrh
We are given that the volume is obtained by multiplying the curved surface area by some factor k:
V=CSA×k
πr
2
h=(2πrh)×k
Solving for k:
k=
2πrh
πr
2
h
=
2
r
The formula for the volume of a cylinder (V) is:
V=πr
2
h
The formula for the curved surface area (CSA) of a cylinder is:
CSA=2πrh
We are given that the volume is obtained by multiplying the curved surface area by some factor k:
V=CSA×k
πr
2
h=(2πrh)×k
Solving for k:
k=
2πrh
πr
2
h
=
2
r