Surface Area of Complex Composite Solids
Interactive practice questions
The figure shows a cylinder of radius $4$4cm, and its height is double the radius. On the top and bottom of the cylinder are cones with radii and height both also equal to $4$4.
How can we calculate the Surface Area of this complex composite solid?
- Break the solid in to more familiar solids (e.g. a cylinder and two cones).
- Draw a net of each solid.
- Only include faces which are on the surface of the composite solid.
- Calculate the area of each net
- Add up the area of all the nets.
- Break the solid in to more familiar solids (e.g. a cylinder and two cones).
- Draw a net of each solid.
- Include all faces on each solid.
- Calculate the area of each net
- Add up the area of all the nets.
- Break the solid in to more familiar solids (e.g. a cylinder and two cones).
- Calculate the volume of each solid.
- Add up the volume of all the solids.
Which option below shows the solid broken in to its nets? (Measurements are rounded to one decimal place where appropriate.)
Find the surface area of the composite figure shown, which consists of a cone and a hemisphere joined at their bases.
Round your answer to two decimal places.
Find the surface area of the composite figure shown.
Round your answer to two decimal places.
If a spherical ball with a radius of $3.7$3.7cm fits exactly inside a cylinder, what is the surface area of the cylinder?
Round your answer to one decimal place.