Question

The cylinder shown has a lateral surface area of about 60 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.
2.12 inches

3.18 inches

6.36 inches

20 inches

Answer 1

Answer: 3.18

Step-by-step explanation:

Answer 2

Answer:

See explanation

Step-by-step explanation:

Assuming the cylinder has a radius of the cylinder is 3 inches, then r=3

Given that the lateral surface area of the cylinder is 60, then we can use the formula:

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

We substitute the values to get;

$60 = 2 \times 3.14 \times 3h$

We solve for h to get:

$h = \frac{60}{2 \times 3.14 \times 3} = \frac{10}{3.14} = 3.1847$

In this case the correct answer is 3.18 inches.