Volume of a Sphere

Q. Question 9 (ii)
Twenty-seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the:
(ii) ratio of S and S'.

Q. What will the volume of a cube of side
a units be?

1. $2a^{2}cu$ units
2. $a^{3}cu$ units
3. $4a^{3}cu$ units
4. $6a^{2}cu$ units

Q. The volume of the sphere is $38808$ cm${}^3$, find its surface area?

1. $5544$ cm${}^2$
2. $4455$ cm${}^2$
3. $4545$ cm${}^2$
4. $5454$ cm${}^2$

Q. If the volume of a sphere is $38808{cm}^3$ then its radius is = ___ cm.

Q. The volume of sphere is $\frac{4}{3}\pi c{m}^3$. Then the radius is ................. m.

1. 0.02
2. 2
3. 0.01
4. 1

Q. The volume of the greatest sphere cut off from a cylindrical wood of base radius 1 cm and height 5 cm is

1. $\frac{4}{3}\times \left(5\pi \right)c{m}^3$
2. $\frac{4}{3}\pi c{m}^3$
3. $5\pi c{m}^3$
4. $\frac{10\pi }{3}c{m}^3$