Question

4. Acylinder is open at one end. The external diameter is 15 an and its thickness 3cm
the cylinder is 11 cm and if lem' weighs 9pm, finds
The capacity of the cylinder
(1) Weight of the metal used in the cylinder (1 314)​

Answer 1

Answer:

12,919.5 gms

Step-by-step explanation:

Cylinder volume with external Diameter of 15 cm with height of 11 cm

V₁ = πd²h/4 = π x 15² x 11 / 4 = 2475π/4 cm³

Cylinder volume of internal empty space with diameter of 9 cm (2 x 3 mm of thickness reduced) with height of 8 cm (3 cm thickness at bottom reduced and top is open)

V₂=πd²h/4 = π x 9² x 8/4 = 648π/4 cm³

Effective volume of Cylinder material = V₁ - V₂

⇒ (2475-648)π/4 = 1827π/4 = 1827 x (22/7) / 4

⇒ 261 x 22/4 = 261 x 11/2 = 2871/2 = 1435.5 cm³

1 cm³ weighs = 9 gm

1435.5 cm³ weighs = 1435.5 x 9 = 12,919.5 gms

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