If a marble of radius 2.1 , cm is put into a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) When an object is submerged in a container completely full of water,the volume of water that overflows is equal to the volume of the submerged obj

Vedclass · Accepted Answer

$38.8$

Vedclass · Answer

(B) When an object is submerged in a container completely full of water,the volume of water that overflows is equal to the volume of the submerged object.Here,the object is a spherical marble with radius $r = 2.1 \, cm$.The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$.Substituting the values: $V = \frac{4}{3} 	imes \frac{22}{7} 	imes (2.1)^3$.$V = \frac{4}{3} 	imes \frac{22}{7} 	imes 2.1 	imes 2.1 	imes 2.1$.$V = 4 	imes 22 	imes 0.1 	imes 2.1 	imes 2.1$.$V = 88 	imes 0.1 	imes 4.41$.$V = 8.8 	imes 4.41 = 38.808 \, cm^3$.Rounding to one decimal place,the volume of water that flows out is $38.8 \, cm^3$.

If a marble of radius $2.1 \, cm$ is put into a cylindrical cup full of water of radius $5 \, cm$ and height $6 \, cm$,then how much water flows out of the cylindrical cup? (in $cm^3$)

Similar Questions

The $CSA$ (Curved Surface Area) of a cylinder is equal to $\ldots \ldots \ldots$

$A$ metallic sphere with radius $18 \,cm$ is melted and recast to produce cylinders with radius $3 \,cm$ and height $12 \,cm$. Find the number of cylinders produced.

The base of a cone with radius $14 \, cm$ and height $32 \, cm$ is hemispherical. Find its volume in $cm^3$.

The radius of a cone is $15 \, cm$ and its base is hemispherical. If the total height of the solid is $55 \, cm$,find its volume in $cm^3$.

$A$ metallic cone with radius $5 \, cm$ and height $8 \, cm$ is melted and recast to produce identical balls with diameter $0.5 \, cm$. Find the number of balls produced.

Vedclass Test Series

Exam Paper Generator

Online Exam Module