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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. 226 cm3 301 cm3 452 cm3 678 cm3

Verified Answer :

Edufirst

The volume of a cone is one-third of the product of the area of the base times the height, i.e.

(1/3)π(r^2)h = (1/3)π(3cm)^2 (8cm) = 75.40 cm^3

Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.

Then the answer is 452 cm^3

The volume of soil required to fill the pots will be 452cm^3

Data;

  • Numbers of pots = 6
  • radius = 3cm
  • height = 8cm

Volume of a Cone

The volume of a cone is given by

\(v = \frac{1}{3} \pi r^2 h\\\)

Let's substitute the value and solve for the volume of one cone

\(v = \frac{1}{3}\pi r^2 h\\v = \frac{1}{3} * 3^2 * 8 * \pi\\v = 75.36cm^3\)

The volume of 6 cones is calculated by

\(v = 75.36 * 6\\v = 452.16cm^3\)

The volume of soil required to fill the pots will be 452cm^3

Learn more on volume of cone here;

https://brainly.com/question/9797939

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