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loisfriedman117

05.08.2020

Mathematics

$A=22.5\ \text{feet}^2$

Step-by-step explanation:

We have,

Height of a cone is 12 feet

Volume of the cone is 90 feet

It is required to find the area of the base of the cone.

The base of a cone is circular in shape.

The formula used to find the volume of a cone is given by :

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

here, $\pi r^2=A$ (area of base of cone)

$V=\dfrac{1}{3}\times Ah\\\\A=\dfrac{3V}{h}\\\\A=\dfrac{3\times 90}{12}\\\\A=22.5\ \text{feet}^2$

So, the area of the base of the cone is $22.5\ \text{feet}^2$ .

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