Answer:
She forgot to include pi as a factor in the volume expression.
Step-by-step explanation:
The exact question is as follows :
Given - Mia is calculating the volume of the cylinder below using the following work.
A cylinder with height of 47 meters and diameter of 35 meters.
To find - What was Mia’s first error?
- She confused the height and the diameter.
- She forgot to include pi as a factor in the volume expression.
- She applied the exponent before multiplying 17.5 and 47.
- She squared 17.5 instead of 35.
Solution -
Given that,
Diameter of cylinder = 35 centimeter
Height of cylinder = 47 centimeter
Now,
We know that,
Volume of cylinder, V = [tex]\pi[/tex]r²h
Also,
We know, Diameter = 2×Radius
⇒Radius = Diameter ÷ 2
= 35 ÷ 2
= 17.5
⇒Radius = 17.5
SO,
The volume becomes, V = [tex]\pi[/tex](17.5)²(47)
= [tex]\pi[/tex](306.25)(47)
= 14393.75 [tex]\pi[/tex]
So,
The volume of the cylinder becomes 14393.75 [tex]\pi[/tex] m³
But
Mia calculated the Volume is 14393.75
By comparing with the actual Volume, we get
The Mia's first error is - She forgot to include pi as a factor in the volume expression.
