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- A cylindrical jar of radius 15 cm is filled with water up to a height of 25 cm.
Question 1:
A cylindrical jar of radius 15 cm is filled with water up to a height of 25 cm. 15 spherical balls of radii 2 cm each are immersed in the jar. Find the new level to which water is filled in the jar. [Take π = 3.] A. 25.71 cm
Feedback Volume of one sphere = 4 / 3× 3 × (23) = 32 cm3
[Volume of the sphere = 4 / 3π (r3).]
Volume of 15 spheres = 15 × 32 = 480 cm3
[Multiply.]
Volume of water in the jar = 3 × (152) × 25 = 16875 cm3
[Volume of the cylinder = π (r2) h.]
Total volume of water + balls(V) ⇒ 480 + 16875 = 17355 cm3
[Simplify.]
Volume of the water in the cylinder when spherical balls are immersed = 17355 cm3
⇒ 3 × (15)2 h = 17355 cm3
Height to which water is filled in the jar ⇒ 173553 × (15)² = 25.71 cm
[Volume of the sphere = 4 / 3π (r3).]
Volume of 15 spheres = 15 × 32 = 480 cm3
[Multiply.]
Volume of water in the jar = 3 × (152) × 25 = 16875 cm3
[Volume of the cylinder = π (r2) h.]
Total volume of water + balls(V) ⇒ 480 + 16875 = 17355 cm3
[Simplify.]
Volume of the water in the cylinder when spherical balls are immersed = 17355 cm3
⇒ 3 × (15)2 h = 17355 cm3
Height to which water is filled in the jar ⇒ 173553 × (15)² = 25.71 cm
B. 32.71 cm
C. 27.71 cm
D. 30.71 cm
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