Question

Please help me out please

Answer 1

302 m³

Explanation:

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

V =
`(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 =
`√(64)` = 8

Hence

V =
`(1)/(3)` π × 6² × 8

=
`(1)/(3)` π × 36 × 8

=
`(36(8)\pi )/(3)` ≈ 302 m³