The diagram shows a rocket that consists of a cone placed on top of a cylinder. Find the surface area of the rocket.

The diagram shows a rocket that consists of a cone placed on top of a cylinder. Find the volume of the rocket.

The diagram shows a child's toy that consists of a hemisphere and a cone. Find the volume of the toy.

The diagram shows a child's toy that consists of a hemisphere and a cone. Find the surface area of the toy.

The sphere and cone shown in the diagram have the same volume. Find the radius of the sphere.

The volume of the larger sphere of radius $R$ is twice the volume of smaller sphere of radius $r$. Find an equation connecting $r$ to $R$.

A piece of rope is wound around a cylindrical pipe $18$ times. If the diameter of the pipe is $600 \mathrm{mm}$, how long is the rope (in $\mathrm{mm}$)? (Use, $\mathrm{\pi }=3.14$)