Question
What is the maximum volume of a cone that would fit in the box with h=3cm, l=6cm, and w=3cm? how do i do this step by step
Answers
Cosine
for d cone to fit in,it base must fit in with base area of box i.e the radius of cone is half width of box=1.5cm and it height must be 3cm V=1/3pi(1.5)^2*3
Reiny
But why not lay the cone in sideways so that the base of the cone rests against the end of the box
So the base of the cone fits the 3 cm by 3 cm end and its height is 6 cm
radius = 1.5 cm
Volume = (1/3)π(1.5)^2 (6)
= 4.5π cm^3
(cosine's cone is only 2.25π cm^3)
So the base of the cone fits the 3 cm by 3 cm end and its height is 6 cm
radius = 1.5 cm
Volume = (1/3)π(1.5)^2 (6)
= 4.5π cm^3
(cosine's cone is only 2.25π cm^3)