Sphere

A solid metallic sphere of radius $10 \mathrm{cm}$is melted and recast into sphere of radius $2 \mathrm{cm}$ each. How many such pairs can be made?

A solid sphere cut into two equal hemisphere. What will be the ratio of surface area of the hemisphere to that of sphere?

$N$ numbers of small drops are combined together to form a bigger dia drop. If diameter of small drop and big drop are $0.35$cm and $3.5$ cm. The number$N$  is 

What will be ratio of their radius if ratio of volume of sphere shaped balls is $1\mathbf{:}27$.

Ratio total surface area of two spheres are $9\mathbf{:}4,$ then ratio of their radius will be

If radius of sphere is increased by $12\%$ then the volume is increased by

If the volume and surface area of a sphere is the same, then what is its radius?

Find the volume of a sphere with radius $7 cm$.

Find the surface area of a sphere with radius $14cm$.

A cuboidal block of metal has dimensions $21 \mathrm{cm}$, $77 \mathrm{cm}$ and $24 \mathrm{cm}$. The block has been melted into a sphere. Find the radius of the sphere. (Take $\pi =\frac{22}{7}$)

A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere(in cm) is

1) 2.5

(2) 3

(3) 3.5

(4) 4

A sphere of diameter 6 cm is dropped in a right circular cylindrical vessedl partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel ?

If the radius of the new spherical container is double the radius of the old spherical container, then the ratio of the volume of the new container and the volume of the old container is

A solid metallic sphere of radius $8 \mathrm{cm}$ is melted and drawn into a wire of uniform cross-section. If the length of the wire is $24 \mathrm{m}$, then its radius (in $\mathrm{mm}$) is:

The internal and external radii of a hollow hemispherical vessel are $6 \mathrm{cm}$ and $7 \mathrm{cm}$, respectively. What is the total surface area $\left({\mathrm{cm}}^2\right)$ of the vessel?

A sphere of radius $6 \mathrm{cm}$ is melted and recast into spheres of radius $2 \mathrm{cm}$ each. How many such spheres can be made?

A sphere of radius $4 \mathrm{cm}$ melted and recast into smaller spheres of radii  $2 \mathrm{cm}$ each. How many such spheres can be made?

A sphere of radius $9$ cm is melted and recast into small spheres of radius $2$ cm each. How many spheres can be made?

If the diameter of a sphere is $14 \mathrm{cm},$ then what is the curved surface area (in ${\mathrm{cm}}^2$) of the sphere?

If the volume (in ${\mathrm{cm}}^3$) of a hemisphere is $7$ times of its curved surface area (in ${\mathrm{cm}}^2$), then what is the radius of the hemisphere?