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Volume of a cone, V = 1/3 πr^{2}h

where r is the radius and h is the vertical height.

The vertical height can be found using pythagorean's theorem:

hyp^{2} = opp^{2} + adj^{2}

hyp is the slant height

opp is the vertical height

adj is the base

Thus, 6.5^{2} = opp^{2} + 2.5^{2}

subtract 2.5^{2} from both sides

opp^{2} = 6.5^{2} - 2.5^{2}

opp^{2} = 36

Take square root of both sides,

opp = 6

Therefore, Vertical height = 6

V = 1/3 π(2.5)^{2}(6)

V = 12.5π

**Ans 1**

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