Volume of cones
Volume of a cone:
volume=1/3𝜋r 2 h
Learn with an example
What is the volume of this cone?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
______ cubic metres.
Find the radius and height of the cone.
radius=1/2 . diameter=1/2 . 4=2
height=4
Use these numbers in the volume formula. Use 𝜋 ≈ 3.14.
volume=1/3𝜋r 2 h
≈1/3 . 3.14 . 4 . 4
≈16.7466
Round your answer to the nearest hundredth:
16.7466 → 16.75
The volume of the cone is about 16.75 cubic metres.
What is the volume of this cone?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
__________ cubic metres.
Find the radius and height of the cone.
radius=2
height=3
Use these numbers in the volume formula. Use 𝜋 ≈ 3.14.
volume=1/3𝜋r 2 h
≈1/3 . 3.14 . 4 . 9
≈12.56
The volume of the cone is about 12.56 cubic metres.
What is the volume of this cone?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
_________ cubic centimetres.
Find the radius and height of the cone.
radius=1/2 . diameter=1/2 . 10=5
height=6
Use these numbers in the volume formula. Use 𝜋 ≈ 3.14.
volume=1/3𝜋r 2 h
≈1/3 . 3.14 . 25 . 6
≈157
The volume of the cone is about 157.00 cubic centimetres.
let’s practice!
