The curved surface area of a cylindrical pillar is 264 m2 and its vol

1.	The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.
Answer» We have, Curved surface area of cylinder = 264 m² Volume = 924 m³ Volume / Curved surface area of cylinder πr²h / 2πrh = 924 / 264 r / 2 = 924 / 264 r = 924×2 / 264 = 7m Radius = 7 m Diameter of cylinder = 2 × radius = 2×7 = 14m Curved surface area = 264 m² 2πrh = 264 2 × 22/7 × 7 × h = 264 h = 264×7 / 2×22×7 = 6m ∴Height of cylinder is 6m Diameter of cylinder is 14m

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.

Answer»

We have,

Curved surface area of cylinder = 264 m²

Volume = 924 m³

Volume / Curved surface area of cylinder

πr²h / 2πrh = 924 / 264

r / 2 = 924 / 264

r = 924×2 / 264

= 7m

Radius = 7 m

Diameter of cylinder = 2 × radius = 2×7 = 14m

Curved surface area = 264 m²

2πrh = 264

2 × 22/7 × 7 × h = 264

h = 264×7 / 2×22×7

= 6m

∴Height of cylinder is 6m

Diameter of cylinder is 14m