Question

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.

Answer 1

By definition, the volume of a cone is given by:

$V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)$

Where,

r: radius of the circular base

h: height of the cone

Since we have 6 conical pots, then the total volume is:

$Vt=6V$

$Vt = 6 * (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)$

Substituting values we have:

$Vt = 6 * (\frac{1}{3}) * (3.14) * (3 ^ 2) * (8) Vt = 452.16 cm ^ 3$

Rounding to the nearest cubic centimeter:

$Vt = 452 cm ^ 3$

Answer:

are needed 452 cm^3 of soil to plant the full tray

Answer 2

The cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in

Volume of a cone

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

r is the radius  = 3cm

h is the height = 8cm

Substitute

V =  1/3 * 3.14 * 3^2 * 8
V = 75.36 cubic cm

Since the gardener uses a tray of 6 conical pots to plant seeds, the total volume will be expressed as:

T = 6(75.36)
T = 452cubic in

Hence the cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in

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