the CSA and valume of a cylindrical pillar are 264m^2 and 396 m^3 resp. find its diameter
Answers
Answered by
5
EXPLANATION.
Curved surface area of a cylinder = 264 m².
Volume of a cylinder = 396 m³.
As we know that,
Formula of :
Volume of cylinder = πr²h.
Curved surface area of cylinder = 2πrh.
Using this formula in the equation, we get.
Curved surface area of a cylinder = 264 m².
⇒ 2πrh = 264. - - - - - (1).
Volume of a cylinder = 396 m³.
⇒ πr²h = 396. - - - - - (2).
Divide equation (1) and (2), we get.
⇒ 2/r = 264/396.
⇒ 2 x 396 = r x 264.
⇒ r x 264 = 792.
⇒ r = 3.
Diameter = 2 x radius.
Diameter = 2 x 3 = 6 cm.
Answered by
0
Answer:
Step-by-step explanation:
Curved Surface area= 264 m^2
Volume = 396 m^3
CSA= 2*pi*r*h
V=pi*r^2*h
Take ratio of CSA and Volume and find radius
Attachments:
Similar questions