Question

Isabella uses the equation V = one-third (12) squared (9) pi to find the volume of the cone below.

A cone has a height of 9 centimeters and base of 12 pi centimeters squared.

What is Isabella’s error?

1. Isabella should have divided 12 by 2 before squaring to get V = one-third (6) squared (9) pi.

2. Isabella should have squared 9 instead of 12 to get V = one-third (9) squared (12) pi.

3. Isabella should have divided the product of 12 and 9 by 3 to get V = StartFraction 12 (9) Over 3 EndFraction.

4. Isabella should have divided the product of 12 pi and 9 by 3 to get V = StartFraction 12 pi (9) Over 3 EndFraction

Answer 1

Answer: The correct answer is D

Step-by-step explanation: Isabella should have divided the product of 12pie and 9 by 3 to get V=12pie(9)/3.

Answer 2

The error of the Isabella is option (D) Isabella should have divided the product of 12pie and 9 by 3 to get V=12pie(9)/3.

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

What is Cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the vertex.

Given,

Height of the cone = 9 centimeter

Base area = 12π centimeter squared

Volume of the cone = $\frac{1}{3}$× Height × Base area

Volume = $\frac{1}{3}(9)(12\pi )$

Here Isabella's equation

Volume  V= $\frac{1}{3}(12^{2})(9\pi )$

Compare the both equation then we can say that Isabella should have divided the product of 12pie and 9 by 3 to get V=12pie(9)/3.

Hence, error of the Isabella is option (D) Isabella should have divided the product of 12pie and 9 by 3 to get V=12pie(9)/3.

Learn more about Cone and Volume here

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