Acircular cardboard piece is needed for the base of a volcano model. the volcano is 46 centimeters tall and has a volume of 800 cubic centimeters. which equation can be used to find the area of the circular base?

The equation for the volume and area of a cylinder is best for modeling this case

V=πr²h

A=2πr

Step-by-step explanation:

Given

H= The height of the volcano 46cm

V= volume of volcano 800cm³

Volume of a cylinder is given as

V=πr²h

Substituting we have

800=3.142*r²*46

800=144.532r²

800/144.532=r²

r²=5.54

r= √5.54

r=2.35cm

We can use this radius to solve for the area

Area of circular base is given as

A=2πr

Substituting we have

A=2*3.142*2.35

A=14.78cm²

step-by-step explanation:

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