A paper cone has a highest diameter of 8 cm and a height of 3 cm calculate the volume of the cone
To calculate the volume of a cone, you can use the formula:
Volume = 1/3 * π * r^2 * h
Where:
r = radius of the base of the cone
h = height of the cone
Given that the highest diameter of the cone is 8 cm, the radius would be half of that, which is 4 cm. So, the radius (r) = 4 cm and the height (h) = 3 cm.
Now, plug these values into the formula:
Volume = 1/3 * π * (4 cm)^2 * 3 cm
Volume = 1/3 * π * 16 cm^2 * 3 cm
Volume = 1/3 * π * 48 cm^3
Volume = 16π cm^3
Therefore, the volume of the cone is 16π cm^3 or approximately 50.27 cm^3.