A can of tuna has a radius of 3.5 cm. The wrapper on the outside of the can does not overlap, and when peeled off, the area of the wrapper is . What is the height of the can of tuna, to the nearest whole number?a5 cm b5.5 cmc6 cm d6.5 cm
Question
A can of tuna has a radius of 3.5 cm. The wrapper on the outside of the can does not overlap, and when peeled off, the area of the wrapper is . What is the height of the can of tuna, to the nearest whole number?a5 cm b5.5 cmc6 cm d6.5 cm
Solution
The wrapper around the can forms a shape called a cylinder. The formula for the surface area of a cylinder is 2πr(h + r), where r is the radius and h is the height.
In this case, we know the radius (r) is 3.5 cm and we're trying to find the height (h). The surface area of the wrapper is the same as the surface area of the cylinder.
We can rearrange the formula to solve for h:
Surface Area = 2πr(h + r) h = (Surface Area / 2πr) - r
We don't have the surface area given in the question, so we can't solve for h yet. Please provide the surface area of the wrapper so we can continue.
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