Question

A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.

Answer 1

Answer: (rounded): 4.01

The height of the cone is 4.01273885 remember to round it if your teacher asks

Answer 2

Answer:

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

$V = \frac{1}{3} \pi r^2h$             ....[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 $\pi = 3.14$ in [1] we have;

$105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h$

Multiply both sides by 3 we have;

⇒$315 = 78.5 \cdot h$

Divide both sides by 78.5 we have;

$4.01273885 = h$

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units