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4. A cylinder has a surface area greater than 100 cm². Could its volume be less
than 100 cm³?

User Bon Ryu
by
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1 Answer

5 votes

Answer:

NO

Explanation:

it is not possible for a cylinder to have a surface area greater than 100 cm² and a volume less than 100 cm³. The surface area of a cylinder is given by the formula 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder. A cylinder with a surface area greater than 100 cm² would have to have a relatively large radius and/or height.

On the other hand, the volume of a cylinder is given by the formula πr²h. Even if the radius is small and the height is big, the product of both will be bigger than 100 cm³. Therefore, it is not possible for a cylinder to have a surface area greater than 100 cm² and a volume less than 100 cm³.

User Sachin Trivedi
by
8.0k points