Question

A project requires a round, concrete patio on the back of a house with a diameter of 24'. How much concrete would be required to pour the patio 6" thick? Express your answer in cubic yards.

Answer 1

8.377 yd³

Explanation:

Data provided:

Diameter of patio = 24'

Therefore,

The Radius of the patio, r =
`\frac{\textup{24'}}{\textup{2}}` = 12'

Thickness = 6" = 0.5'

Now,

Area of the patio = π × r² = π × 12² = 452.39 ft²

Volume = Area × Thickness = 452.39 ft² × 0.5' = 226.19 ft³

Also,

1 ft³ = 0.037037 yd³

thus,

226.19 ft³ = 0.037037 × 226.19 yd³ = 8.377 yd³