A scoop of ice cream, shaped like a sphere with diameter 6 cm, is
placed in an ice cream cone with diameter 5 cm and height 9 cm.
Is the cone big enough to hold all the ice cream if it melts? Explain.

The answer is no.

We need to calculate if the volume of the ice cream is equal or smaller than the volume of the ice cream cone.

The volume of the ice cream (sphere) is

V1 = 4/3 r³ π

d =  6

r = d/2 = 6/2 = 3

V1 = 4/3 * 3³ * 3.14 = 113.04 cm³

The volume of the ice cream cone is:

V2 = 1/3 r² h π

d = 5

r = d/2 = 5/2 = 2.5

h = 12

V2 = 1/3 * 2.5² * 12 * 3.14 = 78.5 cm³

Since the volume of the ice cream (V1) is bigger than the volume of the ice cream cone (V2), the cone is not big enough to hold all the ice cream if it melts

Read more on -

16

step-by-step explanation:

question

given the diagram below, what is md?

the sum of the interior angles is 360°

take away from 360 the sum of the knows angles and you will have the angle d.

360 - 108 - 108 - 72 = 72°