Question

The radius and height of a cylinder are in the ratio 7:2. If the volume of the cylin
8316 cm , find the total surface area of the cylinder.​

Answer 1

hope this answer will be helpful

Answer 2

Answer:

• TSA of cylinder = 3564 cm²

Step-by-step explanation:

Given:

• Ratio of Radius and Height of cylinder = 7:2
• Volume of cylinder = 8316 cm³

To find:

• Total Surface area of cylinder

Now,

Let Radius be = 7x and Height be = 2x respectively,

⇒ Volume of cylinder = πr²h

⇒ 8316 = 22/7 × (7x)² × 2x

⇒ 8316 = 22/7 × 49x² × 2x

⇒ 8316 = 2156x³/7

⇒ 8316 = 308 x³

⇒ x³ = 8316/308

⇒ x³ = 27

⇒ x = 3 cm

So,

⇒ Radius = 7x = 3 × 7 = 21 cm

⇒ Height = 2x = 3 × 2 = 6 cm

Now, we will calculate TSA of cylinder,

⇒ TSA of cylinder = 2πr(h + r)

⇒ TSA of cylinder = 2 × 22/7 × 21(6 + 21)

⇒ TSA of cylinder = 924/7 × 27

⇒ TSA of cylinder = 24948/7

⇒ TSA of cylinder = 3564 cm²

Hence, TSA of cylinder = 3564 cm²