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Step-by-step explanation:
volume is in cube....
written mistake
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Step-by-step explanation:
We have Total Surface Area of cylinder
= 2πr( h + r ) or 2πrh + 2πr²
2πrh + 2πr² = 462 cm² _(i)
Where,
Curved Surface Area = ⅓ Total Surface Area
2πrh = ⅓ × 462 cm²
2πrh = 154 cm²
Substituting value of 2πrh in eq (i),
154 cm² + 2πr² = 462 cm²
2πr² = 462 - 154 cm² = 308 cm²
r² = 308/2π
r² = 308 × 1/2 × 7/22 cm²
r² = 28 × 1/2 × 7/2 cm²
r = √49 cm² = 7 cm
Substituting value of r in 2πrh
2πrh = 154 cm²
h = 154/2πr
h = 154 × 1/2 × 7/22 × 1/7 cm
h = 7/2 cm
Volume of cylinder = πr²h
= 22/7 × 7² × 7/2 cm³
= 539 cm³