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

52222854/555555 = 94.0012312012It can go in ~94 timeshope this helps...

Acone with radius 5 units is shown below. its volume

jr8297811

14.03.2022

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

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

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