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Sidana [21]
3 years ago
13

Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular cones with base radius of 2 in

ches 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
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

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

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

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