A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter

Respuesta :

i think 452cm^3
Voulme of one cylinder times 6

Answer:

Soil required = 453 cm³

Step-by-step explanation:

Volume of cone [tex]=\frac{1}{3}\times \texttt{base area}\times \texttt{depth}[/tex]

Base area of cone [tex]=\pi r^2=\pi \times 3^2=9\pi cm^2[/tex]

Depth of cone = 8 cm

Volume of one cone [tex]=\frac{1}{3}\times 9\times \pi \times 8=75.39cm^3[/tex]

Volume of six cones = 6 x 75.39 = 452.39 cm³ = 453 cm³

Soil required = 453 cm³