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.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves