the radius and height of a cylinder are in ratio 2:3 and its volume is 1617 centimetre cube find it height
Answers
Answered by
116
The ratio of radius and height of the cylinder = 2:3
Let the radius be 2x cm and the height be 3x cm
Volume of cylinder = πr²h
⇒πr²h = 1617(given)
⇒(22/7)(2x)² (3x) = 1617
⇒(22/7)(4x²) (3x) = 1617
⇒12x³ = (1617)(7/22)
⇒12x³ = 11319/22
⇒12x³ = 514.5
⇒ x³ = 514.5/12
⇒ x³ = 42.875
⇒ x = ∛42.875
∴ x = 3.5
Therefore the height of the cylinder = 3x = 3(3.5) = 10.5cm
Let the radius be 2x cm and the height be 3x cm
Volume of cylinder = πr²h
⇒πr²h = 1617(given)
⇒(22/7)(2x)² (3x) = 1617
⇒(22/7)(4x²) (3x) = 1617
⇒12x³ = (1617)(7/22)
⇒12x³ = 11319/22
⇒12x³ = 514.5
⇒ x³ = 514.5/12
⇒ x³ = 42.875
⇒ x = ∛42.875
∴ x = 3.5
Therefore the height of the cylinder = 3x = 3(3.5) = 10.5cm
Answered by
10
Answer:
Step-by-step explanation:
Attachments:
Similar questions