Question

A landscaper needs to prepare 5 identical conical-shaped hanging planters by filling three-quarters of each planter with soil. If the diameter of each planter is 14 inches and the height is 28 inches, approximately how much soil is required for all the planters

Answer 1

Amount of soil need = 5,331.255 inch³ (Approx.)

Explanation:

Given;

Number of conical planters = 5

Volume used in each planter = 3/4

Diameter of planter = 14 inch

Height of planter = 28 inch

Find:

Amount of soil need

Computation:

Radius of planter = 14 /2

Radius of planter = 7 inch

Amount of soil need = [Number of conical planters][Volume used in each planter][Volume of each planter]

Amount of soil need = [5][3/4][(1/3)(π)(r²)(h)]

Amount of soil need = [5][0.75][(0.33)(3.14)(7²)(28)]

Amount of soil need = [5][0.75][(0.33)(3.14)(49)(28)]

Amount of soil need = [3.75][1,421.66]

Amount of soil need = 5,331.255 inch³ (Approx.)