The lateral area of a right circular cone is equal to 120 pi cm^2. if the base of the cone has a diameter of 24 cm , what is the length of the slant height

10cm

Step-by-step explanation:

Given a cone of base radius r and slant height l, the Lateral Area (Curved Surface Area) of the cone is determined using the formula:

Lateral Area of a Cone =

Diameter of the Cone = 24cm

Radius = Diameter/2 =24/2 =12 cm

Therefore:

Lateral Area of a Cone =

Therefore, the slant height of the cone is 10cm

Slant height is equal to 15.62 cm

Step-by-step explanation:

Diameter= 24cm

Radius = 12cm

Area of cone is = πrl

120πcm² = πrl

rl = 120

12l = 120

l = 120/12

l =10

If the height is 10 and radius is 12..

Using right angle triangle method, let the slant height be x

X² = 10² + 12²

X² = 100 + 144

X² = 244

X = √244

X= 15.62

Slant height is equal to 15.62 cm

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high