Answer :

Answer:

325pi/3

Step-by-step explanation:

To find the exact volume of a cone, we use the formula:

Volume of a cone = (1/3) * π * r^2 * h

Given:

Radius of the cone (r) = 5m

Height of the cone (h) = 13m

Substitute the values into the volume formula:

Volume = (1/3) * π * (5)^2 * 13

Volume = (1/3) * π * 25 * 13

Volume = (1/3) * π * 325

Volume = 325 * π / 3

Volume = 325π/3

Therefore, the exact volume of the cone with a radius of 5m and a height of 13m is 325π/3 cubic meters.

Answer: 100pi

Explanation

Use the Pythagorean Theorem to determine the height is h = 12.

5^2 + 12^2 = 13^2

We will plug r = 5 and h = 12 into the formula below.

V = (1/3)pi*r^2*h

V = (1/3)pi*5^2*12

V = (1/3)pi*25*12

V = (1/3)pi*300

V = (1/3)*300pi

V = 100pi

The units for the volume in this case are "cubic meters" which abbreviates to m^3 or [tex]m^3[/tex]

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