6.5.1 Volume of Three Dimensional Shapes, PT3 Practice
Question 1:
The diagram below shows a cone with diameter 14 cm and height 6 cm.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2016/02/Picture22-245x300.png)
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2016/02/Picture22-245x300.png)
Find the volume of the cone, in cm3.
Solution:
Question 2:
In the pyramid shown, the base is a rectangle.![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2016/02/Picture23.png)
If the volume is 20 cm2, find the height of the pyramid, in cm.
Solution:
Question 3:
Diagram below shows a composite solid consisting of a right circular cone, a right circular cylinder and a hemisphere.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2016/02/Picture55-275x300.png)
The volume of the cylinder is 1650 cm3. Calculate the height, in cm, of the cone.
Solution: