Question

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

Answer 1

Hello!

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

$A_l = 2*\pi*R*h$

$80 = 2*3.14*4*h$

$80 = 25.12\:h$

$25.12\:h = 80$

$h = \dfrac{80}{25.12}$

$h = 3.18 \to \boxed{\boxed{h \approx 3.2\:in}}\:\:\:\:\:\:\bf\green{\checkmark}$

Answer:

≈ 3.2 inches

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Answer 2

Answer:

3.2 inches

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