3.7 Volume & Surface Area

A pipe is completely full of water.
Water flows through the pipe at a speed of 1.2 m/s into a tank.
The cross-section of the pipe has an area of 6 cm².

Calculate the number of litres of water flowing into the tank in 1 hour.

.......................................... litres

A container is made from a cylinder and a cone, each of radius 5 cm.
The height of the cylinder is 12 cm and the height of the cone is 4.8 cm.

A cone with height 14.8 cm has volume 275 cm³.
 
Calculate the radius of the cone.
[The volume, , of a cone with radius  and height  is .]
 

............................................... cm

A pipe is full of water.
The cross-section of the pipe is a circle, radius 2.6 cm.
Water flows through the pipe into a tank at a speed of 12 centimetres per second.
 
Calculate the number of litres that flow into the tank in one hour.
 

............................................ litres

A water tank in the shape of a cuboid has length 1.5 metres and width 1 metre.
The water in the tank is 60 centimetres deep.
 
Calculate the number of litres of water in the tank.
 

....................................... litres

The diagram shows a solid cuboid with base area 7 cm².
The volume of this cuboid is 21 cm³.

Work out the total surface area.

......................................... cm²

Find the volume of a cylinder of radius 5 cm and height 8 cm.
Give the units of your answer.

A solid cylinder has radius 3 cm and height 4.5 cm.
 
Calculate the total surface area of the cylinder.
 

................................................ cm²