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3 years ago

If an orange traffic cone has a diameter of 10 in. and a height of 28 in. what is the volume of the cone?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

7 0

Answer:

$\large\boxed{V=\dfrac{700\pi}{3}\ in^3\approx732.67\ in^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

<em>r</em><em> - radius</em>

<em>H</em><em> - height</em>

We have the diameter <em>2r = 10in → r = 5in</em>, and the height <em>H = 28in.</em>

Substitute:

$V=\dfrac{1}{3}\pi(5^2)(28)=\dfrac{1}{3}\pi(25)(28)=\dfrac{700\pi}{3}\ in^3$

$\pi\approx3.14\to V\approx\dfrac{(700)(3.14)}{3}\approx732.67\ in^3$

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brainly.com/question/12208715

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