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# 150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in  water. Find the rise in the level of - CBSE Class 10 - Mathematics

ConceptSurface Area of a Combination of Solids

#### Question

150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in  water. Find the rise in the level of water in the vessel.

#### Solution

Solution:
Given:-
Diameter of cylindrical vessel = 7 cm
Diameter of spherical marbles = 1.4 cm
Volume of a sphere = Volume of 150 spherical marbles, each of diameters 1.4 cm = volume of cylindrical vessel of diameter 7 cm displaced

Volume of a Sphere =4/3 pir^3

150 xx4/3 pi(1.4/2)^3=pi(7/2)^2xxh

h=5.6 cm

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#### APPEARS IN

RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 14: Surface Areas and Volumes
Ex. 14.10 | Q: 46 | Page no. 30

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Solution 150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in  water. Find the rise in the level of Concept: Surface Area of a Combination of Solids.
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