Acone with radius 5 units is shown below. its volume is 105 cubic units. find the height of the cone.

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

            ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use in [1] we have;

Multiply both sides by 3 we have;

⇒

Divide both sides by 78.5 we have;

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

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