Question

the surface area of a cylinder of diameter 10cm is 330cm². Find the height of the cylinder​

Answer 1

hope this answer will be helpful

Answer 2

Answer:

• Height of cylinder = 5.50 cm (Approx).

Step-by-step explanation:

Given:

• Diameter of cylinder = 10 cm
• TSA of cylinder = 330 cm²

To Find:

• Height of cylinder

Now, first we will find radius of cylinder,

⇒ Radius = Diameter/2

⇒ Radius = 5 cm

Now, we will find height of cylinder

⇒ TSA of cylinder = 2πr(h+r)

⇒ 330 = 2 × 3.14 × 5(h + 5)

⇒ 330 = 31.4(h + 5)

⇒ 330 = 31.4h + 157

⇒ 330 - 157 = 31.4h

⇒ 173 = 31.4h

⇒ h = 173/31.4

⇒ h = 5.50 cm (Approx)

Hence, Height of cylinder = 5.50 cm (Approx).