find the volume of a cylindrical pipe of height 105cm , inner diameter is 12cm and outer diameter 16cm.
Answers
Volume of a cylindrical pipe = π(R² - r²)h
⇒ Volume of a cylindrical pipe
= π[(Outer Diameter/2)² - (Inner Diameter/2)² ]h
⇒ Volume of a cylindrical pipe = π[(16 cm/2)² - (12 cm/2)² ]h
⇒ Volume of a cylindrical pipe = π × [(16 cm/2)² - (12 cm/2)² ] × h
⇒ Volume of a cylindrical pipe = π × [(16 cm/2)² - (12 cm/2)² ] × 105 cm
⇒ Volume of a cylindrical pipe = π × [(8 cm)² - (6 cm)² ] × 105 cm
⇒ Volume of a cylindrical pipe = π × [64 cm² - 36 cm² ] × 105 cm
⇒ Volume of a cylindrical pipe = π × [28 cm² ] × 105 cm
⇒ Volume of a cylindrical pipe = 22/7 × [28 cm² ] × 105 cm
⇒ Volume of a cylindrical pipe = 22/7 × 28 cm² × 105 cm
⇒ Volume of a cylindrical pipe = 22/1 × 4 cm² × 105 cm
⇒ Volume of a cylindrical pipe = 22 × 4 cm² × 105 cm
⇒ Volume of a cylindrical pipe = 88 cm² × 105 cm
⇒ Volume of a cylindrical pipe = 88 × 105 cm³
⇒ Volume of a cylindrical pipe = 9240 cm³