Question

A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m across at the bottom. If it is 6 m deep, then its capacity is

Options

• 176 m³

• 196 m³

• 200 m³

• 110 m³

Answer 1

`r_1 = 8/2`

    `= 4m`

`r_2 = (4m)/alpha`

    `= 2m and`

   `h = 6m`

The volume of reservoir

`=h/3pi {r_1^2 + r_2^2 + r_1 r_2}`

`=6/3 pi[16 +4 + 8]`

`=56 pi`

`= 56 xx 22/7`

`=176 m^2`

The volume of reservoir = 176 m²