Question

Find the height of a cylinder which radius is 14 cm and the total surface area is 1936 cm sq

Answer 1

Step-by-step explanation:

r=14

t.s.a=2πrh

1936=2xπx14xh

1936/28π=h

h=22

height =22cm

Answer 2

Answer:

• Height of cylinder = 8.05 cm (Approx).

Step-by-step explanation:

Given:

• Radius of cylinder = 14 cm
• TSA of cylinder = 1936 cm²

To Find:

• Height of cylinder

Now, we know that,

⇒ TSA of cylinder= 2πr(h+r)

⇒ 1936 = 2 × 3.14 × 14(h + 14)

⇒ 1939 = 6.28 × 14(h + 14)

⇒ 1939 = 87.92(h + 14)

⇒ 1939 = 87.92h + 1230.88

⇒ 1939 - 1230.88 = 87.92h

⇒ 708.12 = 87.92h

⇒ h = 708.12/87.92

⇒ h = 8.05 cm (Approx)

Hence, Height of cylinder = 8.05 cm (Approx).