Question

If the volume of a cylinder of height 14 cm is 896π cm³, find its lateral surface area.

Answer 1

Given:

Height h = 14 cm

Volume V = 896π cm³

Write the volume formula: V = π r² h.

Substitute V and h: π r² (14) = 896π.

Cancel π and solve for r²:

14 r² = 896

r² = 896 ÷ 14

= 64

r = 8 cm.

Lateral surface area L = 2π r h

= 2π × 8 × 14 

= 224π cm²