An aluminium sphere of 20 cm diameter is heated from 0°C to 100°C. Its volume changes by (given that coefficient of linear expansion for aluminium αAI = 23 × 10-6/°C)

Question

An aluminium sphere of 20 cm diameter is heated from 0°C to 100°C. Its volume changes by (given that coefficient of linear expansion for aluminium αAI = 23 × 10-6/°C) (A) 2.89 cc (B) 9.28 cc (C) 49.8 cc (D) 28.9 cc

Tardigrade Admin · Accepted Answer

Δ v = v0(3α)Δ T = (4/3)π(10)3Ã 3 Ã 23 Ã 10-6 Ã 100 Δ v = 28.9 cc.

Q. An aluminium sphere of 20 cm diameter is heated from 0 $^{\circ}$ C to 100 $^{\circ}$ C. Its volume changes by (given that coefficient of linear expansion for aluminium $α_{A I} = 23 \times 1 0^{- 6} /^{\circ} C)$

2.89 cc

9.28 cc

49.8 cc

28.9 cc

$Δ v = v_{0} (3 α) Δ T$
$= \frac{4}{3} π (10)^{3} \times 3 \times 23 \times 1 0^{- 6} \times 100$
$Δ v = 28.9 cc .$

Q. An aluminium sphere of 20 cm diameter is heated from 0∘C to 100∘C. Its volume changes by (given that coefficient of linear expansion for aluminium αAI​=23×10−6/∘C)