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