Question

the volume of cylinder is 448 cm sq and height is 7 cm find its lateral surface and total surface​

Answer 1

The lateral surface area is 352 cm² and total surface area is 754.28 cm².

Step-by-step explanation:

Given data:

Volume of the cylinder = 448π cm³

height of the cylinder = 7 cm.

Let the radius be r cm.

We know that:

• Volume of cylinder = πr²h

448π = πr²h

448π / π = r^2 x 7

448 = r² × 7

448 / 7 = r²

64 = r²

√64=r

r = 8 cm

The radius of the cylinder is 8 cm.

Lateral surface area and total surface area of the cylinder.

• Lateral surface area:

= 2πrh

= 2 × 22 / 7 × 8 × 7

= 352 cm²

• Total surface area:

= 2πr(r + h)

= 2 x 22 / 7 × 8 ( 8 + 7)

= 754.28 cm²

Hence the lateral surface area is  352 cm² and total surface area is 754.28 cm².

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