The volume of a cone is given by Volume = `frac(1)(3)` x base area x vertical height, or `frac(1)(3)`Ah
The base area is that of a circle, πr2
The volume of a sphere is given by Volume = `frac(4)(3)`πr3
1. A solid wooden cone has a vertical height of 24 cm and a diameter across its base of 6cm. What is the volume of the cone?
Answer: 56.52 cm3
The area of the base = `πr^2`
`A = π (frac(3)(2))^2` (divide diameter by 2 for the radius)
`A = 7.065`
Volume of cone = `frac(1)(3)Ah`
`V = 56.52`
2. A globe has a radius of 15cm. What is the volume of the globe?
Answer: 14 130 cm3
Volume of a globe = `frac(4)(3)πr^3`
`V = frac(4)(3) xx π xx 15^3`
`V = 14130` cm^3^