Question

Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular cones with base radius of 2 inches and height of 6 inches. If daisy has 360 cubic inches of material for making the spikes, what is the maximum number of spikes she can make

Answer 1

She can make 14 spikes maximum

Step-by-step explanation:

The formula of the volume of a cone is V = $\frac{1}{3}$ π r² h, where

• r is the radius of its base
• h is its height

∵ The spikes are shaped like right circular cones with base

    radius of 2 inches and height of 6 inches

∴ r = 2 inches

∴ h = 6 inches

- Use the formula above to find the volume of each spike

∵ V =  $\frac{1}{3}$ (π)(2)²(6)

∴ V ≅ 25.13274 inches³

∵ Daisy has 360 cubic inches of material for making the spikes

- To find the number of spikes she can make divide the volume

    of the material by the volume of each spike

∴ The number of spikes = 360 ÷ 25.13274 = 14.324

- The number of spikes must be an integer

∴ The maximum number of spikes she can make is 14

She can make 14 spikes maximum

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