Sarah has a laundry bag in the shape of a cylinder. The area of the bottom of the bag can be written as the function A (x) = x2 - 2 feet and the height is H (x) = 5 feet. Write a function, V (x), that represents the volume of the bag.

Question

Mathematics

Kendra

8 May, 22:44

Sarah has a laundry bag in the shape of a cylinder. The area of the bottom of the bag can be written as the function A (x) = x2 - 2 feet and the height is H (x) = 5 feet. Write a function, V (x), that represents the volume of the bag.

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Answers (1)

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Ellie Griffith · Answer 1

As we know the volume of a prism is the product of height and base are

H (x) = height, A (x) = Base area

Thus,

When volume = height (base area)

V (x) = A (x) · H (x)

= (x²-2) (5)

= 5 (x² - 2)