Question

Determine which expressions could be used to help find each component of the ice cream cone. ( answer choices are in picture question 2 )

Answer 1

1). a

2). b

3). c

4). d

Explanation:

From the picture of a cone attached,

Radius of the circular top = r

Height of the cone = h

Slant height of the cone 'l' = 6

Area of the circular top of the cone with radius 'r' = πr²

Amount of space inside the cone = Volume of the cone =
`(1)/(2)\pi r^(2) h`

The amount of wrapper needed to cover the side of the ice cream cone, not including the circular top of the cone = πrl = πr(6 in.)

The vertical height 'h' of the cone when the cone is standing upright =
`√(6^2-r^2)`

[By Pythagoras theorem, l² = h² + r² ⇒ h =
`√(l^2-r^2)`]