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Liula [17]
2 years ago
10

Please help me with this

Mathematics
1 answer:
zhuklara [117]2 years ago
7 0

Answer:

301.6 ft³

Step-by-step explanation:

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

V = \frac{1}{3} × area of base × perpendicular height (h)

h can be calculated by using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 6 and h, thus

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} × 288π = \frac{288\pi }{3} ≈ 301.6

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