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.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

30 people weigh 160 pounds or more