Jitender Gupta and Divya Malik Solutions for Exercise 6: CHALLENGERS

The circumference of the base of a cylindrical vessel is $132 \mathrm{cm}$ and its height is $25 \mathrm{cm}$. Find the radius of the cylinder(in $\mathrm{cm}$). (use $\pi = \frac{22}{7}$)

The circumference of the base of a cylindrical vessel is $132 \mathrm{cm}$ and its height is $25 \mathrm{cm}$. Find the volume of the cylinder(in ${\mathrm{cm}}^3$). $\left(\mathrm{Use} \mathrm{\pi } = \frac{22}{7}\right)$

A certain number of metallic cones, each of radius $2 \mathrm{cm}$, height $3 \mathrm{cm}$ and melted and recast into a solid sphere of radius $6 \mathrm{cm}$. Find the number of cones.

Two solid spheres of radii $2 \mathrm{cm}$ and $4 \mathrm{cm}$ and are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.

The surface area of a solid metallic sphere is $2464{\mathrm{cm}}^2$. It is melted and recast into solid right circular cones of radius $3.5\mathrm{cm}$ and height $7\mathrm{cm}$. Calculate the radius of the sphere  and the number of cones recast. [Take $\mathrm{\pi }=\frac{22}{7}$]

A solid sphere of radius $15\mathrm{cm}$ is melted and recast into solid right circular cones of radius $2.5\mathrm{cm}$ and height $8\mathrm{cm}$. Calculate the number of cones recast.

A hollow sphere of internal and external radii $6\mathrm{cm}$ and $8\mathrm{cm}$ respectively, is melted and recast into small cones of base radius $2\mathrm{cm}$ and height $8\mathrm{cm}$. Find the number of cones.

A solid cone of radius $5\mathrm{cm}$ and height $8\mathrm{cm}$ is melted and recast into small spheres of radius $0.5\mathrm{cm}$. Find the number of spheres formed.