Answer:
302 m³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = [tex]\frac{1}{3}[/tex] πr²h
where r is the radius and h the height
Consider the right triangle from the vertex of the cone to the midpoint of the base and the radius
with hypotenuse = 10 cm
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h = [tex]\sqrt{64}[/tex] = 8
Hence
V = [tex]\frac{1}{3}[/tex] π × 6² × 8
= [tex]\frac{1}{3}[/tex] π × 36 × 8
= [tex]\frac{36(8)\pi }{3}[/tex] ≈ 302 m³
