The curved surface area of the cylinder is 1760cm^2and its volume is 12320cm^3 find its height

Answer 1

Curved surface of area:

A = 2 r π ∙ h

Divide both sides by 2 r π

A / 2 r π = h

1760 / 2 r π = h

h = 1760 / 2 r π

h = 880 / r π

Volume of area:

V = r² ∙ π ∙ h

V = r² ∙ π ∙ 880 / r π

V = r ∙ 880

880 r = V

Divide both sides by 880

r = V / 880 = 12320 / 880 = 14 cm

h = 880 / 14 π

h = 2 ∙ 440 / 2 ∙ 7 π

h = 440 / 7 π = 20,00805 cm

Approx.

h = 20 cm

Answer 2

My typo.

Curved surface of cylinder:

A = 2 r π ∙ h

Volume of cylinder:

V = r² ∙ π ∙ h