We will use the following formula
The curved surface area (CSA) of a cylinder formula
csa = 2 × π × r × h
The volume of cylinder formula
v = π × r² × h
Given:
h = 35
csa = 3,300
Asked: v
Solution:
Find the radius of the cylinder using csa formula
csa = 3,300
2 × π × r × h = 3,300
2 × 22/7 × r × 35 = 3,300
44/7 × r × 35 = 3,300
35r = 3,300 × 7/44
35r = 525
r = 525/35
r = 15
The radius is 15 cm
Find the volume of the cylinder
v = π × r² × h
v = 22/7 × 15² × 35
v = 22/7 × 225 × 35
v = 24,750 cm³
The volume of the cylinder is 24,750 cm³
