Question

Arden calculated the height of a cylinder that has a volume of 88π mm3 and a radius of 4 mm. V = Bh 1. 88π42(h) 2. 88π = 16π(h) 3. 88π 16 π = 16π 16π (h) 4. h = 5.5π mm Did Arden correctly calculate the height of the cylinder? If not, explain her error. yes, she calculate the correct height. No, she substituted the volume and radius into the wrong places in the formula in step 1. No, she should have gotten 8(h) on the right side of the equation in step 2. No, the should have canceled out in step 4 making the correct answer 5.5mm.

Answer 1

Last one:

No, the should have canceled out pi in step 4 making the correct answer 5.5mm.

Explanation:

88pi = pi × 4² × h

88pi = 16pi × h

h = 88pi/16pi

h = 5.5 mm

Answer 2

D. No, the
`\pi` should have canceled out in step 4 making the correct answer 5.5mm.

Explanation:

All the steps that Arden took were correct up until the last step:

1. V = Bh ⇒ 88
`\pi` =
`\pi`*4^2 * h = 16
`\pi h`

2. Divide by 16
`\pi` from both sides: h = 88
`\pi` / 16
`\pi` = 88/16 = 5.5

Arden forgot to cancel out the pi from both the numerator and denominator, so her answer should have been 5.5 mm, not 5.5
`\pi` mm.

Thus, the answer is D.

Hope this helps!