Question

Would you rather have a cup of ice cream that hold last a volume of 21.21 inches or a cone that has a radius of 1.5 inches and height of 3 inches?

Answer 1

I will prefer the cone having volume 21.21 cubic inches.

Explanation:

A cup of ice cream holds ice cream = 21.21 cubic inches

Since volume of a cone = Capacity of the cone to hold the ice cream

Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,

V =
`(1)/(3)(\pi)(r^(2) )(h)`

=
`(1)/(3)(\pi )(1.5)^(2)(3)`

= 7.069

≈ 7.07 cubic inches

Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³