Question

Please help me with this

Answer 1

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