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2 years ago

Please help me out please

Mathematics

1 answer:

frosja888 [35]2 years ago

7 0

Answer:

302 m³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = $\frac{1}{3}$ 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 = $\sqrt{64}$ = 8

Hence

V = $\frac{1}{3}$ π × 6² × 8

= $\frac{1}{3}$ π × 36 × 8

= $\frac{36(8)\pi }{3}$ ≈ 302 m³

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