Question

Please help me with this

Answer 1

301.6 ft³

Explanation:

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

V =
`(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 =
`√(64)` = 8

Hence

V =
`(1)/(3)` × π × 6² × 8

=
`(1)/(3)` × 288π =
`(288\pi )/(3)` ≈ 301.6