What will be the ratio of volume of cube is to volume of sphere inscribed in the cube?

3 : π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 : π

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

6 : 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $6 : π$
$\frac{v o l u m e o f c u b e}{v o l u m e o f s p h e r e} = \frac{a^{3}}{\frac{4}{3} \times π {(\frac{a}{2})}^{3}} = \frac{a^{3} \times 24}{4 π a^{3}} = \frac{6}{π}$

Suggest Corrections

Similar questions

If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is
(a) $π : 2$
(b) $π : 3$
(c) $π : 4$
(d) $π : 6$

Q. Question 9
If a sphere is inscribed in a cube, then the ratio of the volume of the cube to the volume of the sphere will be

6 : π

Q. A sphere and a cube have same surface area. Show that the ratio of the volume of sphere to that of cube is √6:√π.

Q. A sphere and a cube have the same surface area. Show that the ratio of the volume of the sphere to that of the cube is

\sqrt{6} : \sqrt{π}

Q. A sphere and a cube have the same surface area. Show that the ratio of the volume of the sphere to that of the cube is

\sqrt{6} : \sqrt{π}

Join BYJU'S Learning Program

What will be the ratio of volume of cube is to volume of sphere inscribed in the cube?

The correct option is D 6:πvolumeofcubevolumeofsphere=a343×π(a2)3=a3×244πa3=6π

The correct option is D $6 : π$
$\frac{v o l u m e o f c u b e}{v o l u m e o f s p h e r e} = \frac{a^{3}}{\frac{4}{3} \times π {(\frac{a}{2})}^{3}} = \frac{a^{3} \times 24}{4 π a^{3}} = \frac{6}{π}$