# From a solid cyli

Given:

Height = 24 cm

Diameter = 14 cm

Diameter = 14 cm

Radius = 1/2 × 14 cm = 7 cm Clearly,

Total Surface Area of remaining solid = Curved surface area of cylinder + Area of cylinder’s base + Curved surface area of cone …(1)

Curved surface area of cylinder = 2πrh Curved surface area of cylinder = 2 × 22 ×24

Curved surface area of cylinder = 1056 cm2

Area of cylinder’s base = πr2 Area of cylinder’s base = 22 × 7

Area of cylinder’s base = 154 cm2

Curved surface area of cone = πrl …(2)

(where, l = slant height)

To find l,

l2 = r2 + h2

l2 = r2 + h2

l2 = 72 + 242

l2 = 49 + 576

l2 = 625

l = √625

l = 25 cm

Put the value of l in (2), Curved surface area of cone = 22 × 25

Curved surface area of cone = 550 cm2

Putting all the values in (1),

Total Surface Area of remaining solid = 1056 cm2 + 154 cm2 + 550 cm2

Total Surface Area of remaining solid = 1,760 cm2

Hence, Total Surface Area of remaining solid = 1,760 cm2

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