A bridge construction company is putting cone-shaped tops on top of each bridge support to discourage birds from roosting on the bridge. Each cone will be filled with cement. How much cement will they have to put in each cone? (Use=3.14)

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A bridge construction company is putting coneshaped tops on top of each bridge support to discourage birds from roosting on the bridge Each cone will be filled class=

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Answer:

B. 314 cm³

Step-by-step explanation:

We are given that,

Height of the cone = 12 cm

Radius of the cone = 5 cm

Since, we need to fill the cone with the cement. So, we will find the volume of the cone.

So, Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

i.e. Volume of the cone = [tex]\frac{1}{3}\pi 5^{2}\times 12[/tex]

i.e. Volume of the cone = [tex]\frac{1}{3}\times 3.14 \times 25\times 12[/tex]

i.e. Volume of the cone = [tex]\frac{942}{3}[/tex]

i.e. Volume of the cone = 314 cm³

Hence, the amount of cement they can put in each cone is 314 cm³.

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