A cone has a volume of 100

Question

2 years ago

9

s="latex-formula"> Cubic units and a diameter of 10 units. What is the height of the cone?

1 answer:

Bumek [7] · Answer 1 · 2022-06-21T11:53:26+03:00

Answer:

12 units

Step-by-step explanation:

The formula for the volume of a cone is given as:

πr²h/3

The volume = 100π cubic units

Diameter = 10 units.

Radius = Diameter/2

= 10 units/2 = 5 units

Hence:

Formula to find the height of a cone

h = 3V/πr²

We substitute

h = 3 × 100π/π × 5²

h = 300π/25π

h = 12 units

The height = 12 units