She can make 14 spikes maximum
Step-by-step explanation:
The formula of the volume of a cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
∵ 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 = [tex]\frac{1}{3}[/tex] (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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Daisy can make a maximum of 14 spikes
The maximum amount of spikes she can make can be determined by dividing the volume of the material by the volume of the cone
Maximum spikes = Volume of the material / volume of the cone
Volume of the cone = [tex]\frac{1}{3}[/tex]πr²h
Where:
r = radius = 2 in
h = height = 6 in
π = pi = 22/7
[tex]\frac{1}{3}[/tex] × [tex]\frac{22}{7}[/tex] x 2² × 6 = 25.14 in³
Maximum spikes = 360 / 25.14 = 14.3
This would be 14 approximately
To learn more about a cone, please check: https://brainly.com/question/1984638?referrer=searchResults
