CSA of a cylinder of height 35cm is 3300cm2. find its volume

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