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?

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

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

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

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

Respuesta :

Answer:

(D)Isabella should have divided the product of [tex]12\pi \:cm^2[/tex], and 9 by 3 to get [tex]V=\frac{1}{3}*12\pi*9[/tex].

Step-by-step explanation:

Isabella uses the expression: [tex]V=\frac{1}{3}*12^2*9*\pi[/tex] to find the volume of a cone with the following dimensions:

Height=9cm

Base Area =[tex]12\pi \:cm^2[/tex]

Volume of a Cone ,[tex]V=\frac{1}{3}*Base\:Area*Height=\frac{1}{3}\pi r^2 h[/tex]

[tex]=\frac{1}{3}*12\pi*9[/tex]

Since the base area of the cone =[tex]12\pi \:cm^2[/tex], Isabella should have divided the product of [tex]12\pi \:cm^2[/tex], and 9 by 3 to get [tex]V=\frac{1}{3}*12\pi*9[/tex].

Answer:

D

Step-by-step explanation:

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