A sphere of radius 3 cms is dropped into a cylindrical vessel of radius 4 cms. If the sphere is submerged completely, then the height (in cm) to which the water rises, is

Foundation

Mathematics Foundation

Surface Area and Volume

Cone

Surface Area and Volume

Question

A sphere of radius 3 cms is dropped into a cylindrical vessel of radius 4 cms. If the sphere is submerged completely, then the height (in cm) to which the water rises, is

2.35

2.30

2.15

2.25

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Let h be the height of the water
then,
$\frac{4}{3} π (3)^{3} = π \times (4)^{2} \times h$
$h = \frac{4 \times 3 \times 3 \times 3}{3 \times 4 \times 4}$
$h = \frac{9}{4} = 2 .25 cm$