## A cone has a volume of 4000cm3 . Determine the height of the cone if the diameter of the cone is 30 cm. ​

Question

A cone has a volume of 4000cm3

. Determine the height of the cone if the diameter of the cone

is 30 cm. ​

in progress 0
2 weeks 2021-07-19T23:03:33+00:00 1 Answers 2 views 0

17cm

Step-by-step explanation:

Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

Diagram :

Step 1: Using the formula of cone :

The volume of cone is ,

Step 2: Substitute the respective value :

As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step 3: Simplify the RHS :

Step 4: Move all the constant nos. to one side

Hence the height of the cone is 17cm .