Question

Golf ball size basketballs are often packed in cylindrical canisters. The diagram below shows three balls in a canister. Let C be the circumference of the canister and let H be the height of the canister. Assuming each ball has a diameter of 1.68 inches and the balls fit snugly in the canister, which of the following statements is correct?

Answer 1

Answer:

C > h

Step-by-step explanation:

I just did it one my test haha

Answer 2

The correct statement about the circumference (C) and the height (h) is gotten as; C > h

How to find the circumference of the cylinder?

The formula for circumference of a cylinder is;

C = 2πr

Now, we are not given the radius of the cylinder but we are told that there are 3 balls that fit perfectly into the cylidrical canister. Each having a diameter of 1.68 inches.

Thus;

Radius; r = d/2 = 1.68/2 = 0.84 inches

Height of cylinder will be;

h = 3d = 3 * 1.68

h = 5.04 inches

Circumference; C = 2π * 0.84 = 5.28 inches. Thus;

C > h

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