A square-based pyramid, with the coordinates of $A(1,0,3), B(1,5,3)$ and $E(7,\sqrt{15},10)$ is shown. Find the midpoint of $AB$.

A square-based pyramid, with the coordinates of $A(1,0,3), B(1,5,3)$ and $E(7,\sqrt{15},10)$ is shown. Find the length $AE$. [Enter the value excluding units]

Find the area of the triangle:   [Enter the value excluding units]

The figure shows a container in the shape of a circular cylinder topped by a hemisphere. The radii of both cylinder and hemisphere is $3$ centimetres and the height of the cylinder is $7$ centimetres.

Calculate the volume of the container.  [Use $\mathrm{\pi }=3.14$]   [Enter the value excluding units]

The figure shows a container in the shape of a circular cylinder topped by a hemisphere. The radii of both cylinder and hemisphere is $3$ centimetres and the height of the cylinder is $7$ centimetres.

Calculate the total surface area of the container.  [Use $\mathrm{\pi }=3.14$]  [Enter the value excluding units]