l. A cylindrical vessel of diameter 4 cm is partfilled with water. If

1.	l. A cylindrical vessel of diameter 4 cm is partfilled with water. If 300 metallic balls ardropped in the cylinder then the rise in watlevel is 0.8 cm, find the radius of each ball.a) 0.2 cmc) 0.6 cmb) 0.4 cm1 cm
Answer» Diameter of the vessel = 4 cm Radius of the vessel = 2 cm Rise in water level = 0.8 cm Volume of the increased water level = πr²h = 22/7 × (2)²× 0.8 = 10.06 cu cm. Volume of 300 lead balls = 10.06 cu cm But, volume of 300 balls = 300 × 4/3 × 22/7 × (r)³ ⇒ 300 × 4/3 × 22/7 × (r)³= 10.06 ⇒ (r)³ = 10.06 × 1/300× 3/4× 7/22 ⇒ (r)³≅ 0.008 ⇒ r = 0.2

l. A cylindrical vessel of diameter 4 cm is partfilled with water. If 300 metallic balls ardropped in the cylinder then the rise in watlevel is 0.8 cm, find the radius of each ball.a) 0.2 cmc) 0.6 cmb) 0.4 cm1 cm

Answer»

Diameter of the vessel = 4 cm

Radius of the vessel = 2 cm

Rise in water level = 0.8 cm

Volume of the increased water level = πr²h

= 22/7 × (2)²× 0.8 = 10.06 cu cm.

Volume of 300 lead balls = 10.06 cu cm

But, volume of 300 balls = 300 × 4/3 × 22/7 × (r)³

⇒ 300 × 4/3 × 22/7 × (r)³= 10.06

⇒ (r)³ = 10.06 × 1/300× 3/4× 7/22

⇒ (r)³≅ 0.008

⇒ r = 0.2