Question

the lateral surface area of a hollow cylinder is 4224 cm sq it is cut along its height and formed a rectangular sheet of width 33cm .Find the perimeter of rectangular sheet ?

Answer 1

4224:2pie rh
Radius will 20.36cm
2×pie×radius will be length of sheet
Length: 127.98cm
Perimeter is 2(127.98+33)
That is 321.96 Or 322 cm (approx.)
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Answer 2

Answer:

Perimeter of rectangular sheet is 322 cm.

Step-by-step explanation:

Given: The lateral surface area of a hollow cylinder is 4224 cm sq it is cut along its height and formed a rectangular sheet of width 33 cm .

To find : The perimeter of rectangular sheet ?

Solution :

Lateral surface area of hollow cylinder = 4224 cm²

Height of a hollow cylinder (h)= 33 cm

Lateral surface area or curved surface area of hollow cylinder

$S= 2\pi rh$

$4224 = 2\times \frac{22}{7}\times r\times 33$

$r=\frac{4224\times7}{2\times 22\times 33}$

$r=\frac{64\times7}{22}$

Length of rectangular sheet,

$L=2\pi r$

$L=2\frac{22}{7}\times \frac{64\times7}{22}$

$L=64\times 2$

$L=128 cm$

Perimeter of rectangular sheet,

$P= 2(l+b)\\P= 2(128+33)\\P=2\times 161\\P=322 cm$

Therefore, Perimeter of rectangular sheet is 322 cm.