Flag Magical Mathematics[Interesting Approach]> A sphere is inscribed in a cube. Find the...
question mark

A sphere is inscribed in a cube. Find the ratio of volume of sphere to volume of cube. Please give the solution

Shrey , 11 Years ago
Grade 11
anser 4 Answers
TANAYRAJ SINGH CHOUHAN

Last Activity: 11 Years ago

Let, Side of Cube = a Therefore, Radius of sphere = a/2(since, sphere touches the two opposite sides of the cube) So, Volume of sphere = 4/3pi.r^3 = 4/3.pi.(a/2)^3 and, Volume of cube = a^3 So, required ratio = {4/3.pi.(a/2)^3}/a^3 = 3pi/2

TANAYRAJ SINGH CHOUHAN

Last Activity: 11 Years ago

Please approve my answer if you like it and best of luck for your preparation.

Shrey

Last Activity: 11 Years ago

The answer is 21:11

SREE NIGAMADITYA NIMMAGADDA

Last Activity: 11 Years ago

the radius of the sphere is equal to 1/2 the side of the cube (since, diameter of the cube is equal to the side of the cube let the radius be `r` then, volume of sphere (V1)=4/3*22/7*r^3 volume of cube (v2)=(2r)^3 the ratio will be equal to v1/v2=22/42 =11/21 that will be equal to 11:21

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments