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
P320_z1;P320_z1.png;base area of a cone
The volume of a sphere is given by Volume = `frac(4)(3)`πr3
P320_z2;P320_z2.png;volume of a sphere
| 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` |
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| 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^ |