The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and 6 cm height. What is the depth of the ice-cream, correct to two decimal places?
m
3 cm
Ice-cream
6 cm
depth of
ice-cream
5cm

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

So,

Let is the volume of icecream in the cone. So,

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

So, volume of icecream in the cone is :

or

h = 5 cm

So, the depth of the ice-cream is 5 cm.

answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: