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.
Math item stem image

Answer 1

Answer:

See explanation

Step-by-step explanation:

The lateral surface area of a cylinder is calculated using:

$L.S.A = 2\pi \: rh$

We have that the lateral surface area is about, 80 square inches.

Assuming the radius is 10 inches, then we substitute r=10, π=3.14 and solve for h.

$80 = 2 \times 3.14 \times 10h$

We solve for h to get:

$h = \frac{80}{2 \times 3.14 \times 10 } = \frac{4}{3.14}$

$h = 1.3inches$

Answer 2

Answer:

3.2

Step-by-step explanation: