The mass of a sphere with constant density is - R is the radius of the sphereA- M-1 L3 T2B- M-1 L-3 T-2- M-1 L3 TD- M-1 L3 T-2

The correct option is A Mass = Volume × density Volume of the sphere=4 π/3 R^3 = 4 π/3 R^3 ×ρ From the above equation the mass of the sphere is directly propo ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Volume of a Sphere

The mass of a...

Question

The mass of a sphere with constant density is ___. (R is the radius of the sphere)

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

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

Open in App

Solution

The correct option is A

Mass = Volume $\times$ density
Volume of the sphere= $\frac{4 π}{3} R^{3}$
$= \frac{4 π}{3} R^{3} \times ρ$

From the above equation the mass of the sphere is directly proportional to the cube of its radius.

Suggest Corrections

Similar questions

Q. A sphere of radius

r

has a mass

m

. Its density is .

Q. The mass of steel sphere having density 7850

k g m^{- 3}

and radius 0.15

m

is:

Q. A sphere has a radius of 1 m and a mass of 10 kg. The density of the sphere would be.

The moment of inertia of two spheres of equal masses is equal. If one of the spheres is solid of radius √45 m and the other is a hollow sphere. What is the radius of the hollow sphere?

Q. What is the moment of inertia of a hollow sphere of radius

3 m

and mass

2 kg

about an axis passing through the geometric centre of the sphere?

Join BYJU'S Learning Program

The mass of a sphere with constant density is ___. (R is the radius of the sphere)

The correct option is A Mass = Volume × density Volume of the sphere=4π3R3 =4π3R3×ρ From the above equation the mass of the sphere is directly proportional to the cube of its radius.

The correct option is A

Mass = Volume $\times$ density
Volume of the sphere= $\frac{4 π}{3} R^{3}$
$= \frac{4 π}{3} R^{3} \times ρ$

From the above equation the mass of the sphere is directly proportional to the cube of its radius.