Question

The cylinder shown has a lateral surface area of about 750 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi.

Answer 1

The radius of the cylinder is most likely 1.5 inches if the height is 80 inches

Explanation:

Extracting the key information from the question:-

*** A cylinder has a lateral surface area of about 750 square inches.

*** We are asked to use 3.14 to approximate π

Before we continue, we would need the formula for calculating the lateral surface area of a cylinder. The formula for calculating the lateral surface area of a cylinder is:

2 × π × r × h

Where π = pi

r = radius of the cylinder

h = height of the cylinder.

Lateral surface area of the cylinder (L.S.A) can also be calculated using the formula:

π × d × h

Where d = diameter of the cylinder.

Since an image of the cylinder that accompanied the question is not visible at this time, we can assume that the height of the cylinder is 80 inches.

Now, L.S.A of a cylinder = 2 × π × r × h

Where the lateral surface area = 750 square inches.

We will then substitute appropriately and make the cylinder's radius the subject of the formula later on.

2 × 3.14 × r × 80 = 750

= 502.4 × r = 750

r = 750/502.4

r = 1.49 ≈ 1.5 inches

Therefore, the radius of the cylinder is most likely 1.5 inches.

Answer 2

r ≈ 2.39 inches.

Explanation:

I think your question is missed of key information of the height, allow me to add in and hope it will fit the original one.

The cylinder shown has a lateral surface area of about 750 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi. the height being 50 inches.

My answer:

Given that the lateral surface area of about 750 square inches and its height is 50 inches.

We have the formula ti find the surface area of the cylinder is:

S = h(2πr)

<=> 750 = 50*2*3.14*r

<=> r ≈ 2.39 inches.

Hope it will find you well.