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?

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

Answer 1

D

Explanation:

Answer 2

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

Explanation:

Isabella uses the expression:
`V=(1)/(3)*12^2*9*\pi` to find the volume of a cone with the following dimensions:

Height=9cm

Base Area =
`12\pi \:cm^2`

Volume of a Cone ,
`V=(1)/(3)*Base\:Area*Height=(1)/(3)\pi r^2 h`

`=(1)/(3)*12\pi*9`

Since the base area of the cone =
`12\pi \:cm^2`, Isabella should have divided the product of
`12\pi \:cm^2`, and 9 by 3 to get
`V=(1)/(3)*12\pi*9`.