Plzz solve the above sum
(Only the Question of No. 5 )
Answers
2πr=110
πr=55
r=55/π cm
CSA of cylinder =2πrh=4400cm²
πrh=2200
hπ*55/π=2200
55h=2200
h=2200/55
h=440/11
h=40cm
volume of cylinder=πr²h=π*55/π*55/π*40
=55*55/π*40
=38500cm³
HOPE IT HELPS
We know that curved surface area of the cylinder = 2πrh.
We know that volume of cylinder = πr^2h
According to Question,
(i)
Given that curved surface area of cylinder = 4400 cm^2.
⇒ 2πrh = 4400
⇒ πrh = 2200
⇒ πr = (2200/h). ----- (1)
(ii)
Given circumference of base of a cylinder = 110 cm.
⇒ 2πr = 110
⇒ 2 * (2200/h) = 110
⇒ 4400/h = 110
⇒ 4400 = 110h
⇒ h = 40.
Substitute h = 40 in (1), we get
⇒ πr = (2200/40)
⇒ πr = 55
⇒ (22/7) * r = 55
⇒ 22r = 385
⇒ r = 17.5
(iii)
Volume of cylinder = πr^2h
= (22/7) * (17.5)^2 * (40)
= (22/7) * (306.25) * 40)
= 22 * 43.75 * 40
= 38500 cm^2.
Therefore:
⇒ Height of the cylinder = 40 cm.
⇒ Volume of the cylinder = 38500 cm^2.
Hope it helps!