Volumes of Pyramids and Cones - Questions

Question 1
15247

Calculate the volume of following cone (nearest \(\rm{cm}^3\))

\(1206~\rm{cm}^3\)

Question 2
15249

Calculate the volume of the following cone (1 decimal place)

\(301.6~\rm{m}^3\)

Question 3
15248

In a playground, some children used \({\rm{200}}~\rm{cm}^3\) of sand to build a pyramid. If the side length of the square base is \({\rm{10}}~\rm{cm}\), what is the height of the pyramid?

\(6~\rm{cm}\)

Question 4
15251

A cone has a volume of \({\rm{1020}}{~\rm{m}^3}\) and a perpendicular height of \({\rm{10}}~\rm{m}\). Find its radius (2 decimal places)

\(9.87~\rm{m}\)

Question 5
13521

Calculate the volume of the following pyramid.

\(400\,\rm{m^3}\)

Question 6
112827

Find the volume of the square pyramid given the dimensions

  • \(BC=5 \text{ cm}\)
  • \(AH=9 \text{ cm}\)

\(75 \text{ cm}^3\)

Question 7
112828

Find the volume of the square pyramid given the dimensions

  • \(BC=6 \text{ cm}\)
  • \(AG=5 \text{ cm}\)

\(48 \text{ cm}^3\)

Question 8
112825

A cone has a volume of \(12.8 \pi \text{ cm}^3\). The radius of the cone is \(4\text{ cm}\). Find its height. 

\(2.4 \text{ cm}\)

Question 9
112826

A pyramid has a volume of \(1016.4\text{ m}^3\). The height of the pyramid is \(4.2 \text{ m}\). Find the area of the base. 

\(726 \text{ m}^2\)

Question 10
112824

A cone has a radius of \(6 \text{ cm}\) and a height of \(15 \text{ cm}\). Find the exact volume of the cone. 

\(180 \pi \text{ cm}^3\)