find T.S.A of a cylinder is 6512 cm2 and it's circumference of it's ba

1.	find T.S.A of a cylinder is 6512 cm2 and it's circumference of it's base is 88 cm2 . find volume of cylinder?
Answer» Answer: Let r be the RADIUS and h be the height of the GIVEN cylinder. Circumference = 2πr = 88 cm (Given) ⇒ 2 × 22/7 × r = 88 cm ⇒ r = 88 × 7/22 × 1/2 ⇒ r = 14 cm Total surface area = 2πr(h + r) = 6512 cm2 (Given) ⇒ 88(h + 14) = 6512 (∵ 2πr = 88 cm and r = 14 cm) ⇒ h + 14 = 6512/88 ⇒ h + 14 = 74 ⇒ h = 60 cm ∴ Volume of the cylinder = πr2h = 22/7 × (14)2 × 60 CM3 = 36960 cm3 Step-by-step explanation:

find T.S.A of a cylinder is 6512 cm2 and it's circumference of it's base is 88 cm2 . find volume of cylinder?

Answer»

Answer:

Let r be the RADIUS and h be the height of the GIVEN cylinder.

Circumference = 2πr = 88 cm (Given)

⇒ 2 × 22/7 × r = 88 cm

⇒ r = 88 × 7/22 × 1/2

⇒ r = 14 cm

Total surface area = 2πr(h + r) = 6512 cm2 (Given)

⇒ 88(h + 14) = 6512 (∵ 2πr = 88 cm and r = 14 cm)

⇒ h + 14 = 6512/88

⇒ h + 14 = 74 ⇒ h = 60 cm

∴ Volume of the cylinder = πr2h

= 22/7 × (14)2 × 60 CM3 = 36960 cm3

Step-by-step explanation: