Mathematics, 04.05.2020 22:43 angelasnipes51orfryq

Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is shown below.

Step 1 Find the radius.
radius = StartFraction 6 Over 2 EndFraction = 3 centimeters
Step 2 Find the area of the base.
Area of base = Pi (3) squared = 9 pi centimeters squared
Step 3 Multiply the area of the base by the height.
9 pi times 6 = 54 centimeters cubed
Step 4 Divide 54 by 3 to find the volume of the cone.
Volume of the cone = StartFraction 54 Over 3 EndFraction = 18 centimeters cubed

What was Ahmed’s first error?
In Step 1, the radius should be found by multiplying the diameter by 2.
In Step 2, the formula 2 pi r should be used to find the area of the circle.
In Step 3, the resulting area should be in terms of pi.
In Step 4, the units of the resulting volume should be Centimeters squared.

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Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is s...

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