Question

Ema substituted the measurements of her cone into the formula to find the surface area. Her work is shown below. SA = π(142) + π(14)(29) What can be concluded from Ema's equation? Check all that apply. The slant height of the cone is 14 units. The diameter of the cone is 28 units. The base area of the cone is 196Piunits2. The lateral area is the product of pi, the radius, and the slant height. The surface area is 434Pi units2.

Answer 1

A,B,D

Explanation:

Answer 2

B, C and D

Explanation:

Ema found the surface area of a cone as:

`S.A = \pi(14^2) + \pi(14)(29)`

Surface Area of a Cone
`S.A.=\pi r^2+\pi rl`

Therefore:

Radius, r =14 units

Slant Height, l = 29 Units

(B)The diameter of the cone is 28 units.

SInce Diameter =Radius X 2

Diameter = 14 X 2= 28 Units

(C)The base area of the cone is
`196\pi$ units^2.`

Base Area of a Cone
`=\pi r^2`

Since r=14 Units

Base Area =
`=\pi 14^2=196\pi $ square units`

(D)The lateral area is the product of pi, the radius(r), and the slant height(l).

`L$ateral Area of a cone =\pi rl`

Therefore, B, C andDapplies.