Question

A rectangular sheet of paper 40 cm x 22 cm is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder (in cm) is:

a. 10
b. 20
c. 30
d. 40

Answer 1

The radius of the cylinder is approximately 0.2659 cm.

Step-by-step explanation:

To find the radius of the cylinder, we need to first calculate the volume of the cylinder. The volume formula for a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the height of the cylinder is given as 40 cm. We need to determine the radius of the cylinder. Let's substitute the given values into the formula:

V = 9.278 cm³

Now, let's solve for r:

9.278 = 3.142r²(40)

Dividing both sides of the equation by 3.142 × 40, we get:

r² = 0.07037

Taking the square root of both sides, we find:

r ≈ 0.2659

Therefore, the radius of the cylinder is approximately 0.2659 cm.