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20 votes
Question 3 (1 point)

A cylinder has a radius of 13 feet and a

height of 28 feet. Which statement about

the cylinder is not true?

a

The circumference is about 82 ft.

The area of one base is about 531 ft2

ОООО

The lateral area is about 2,286 ft?

The total surface area is about 2,818 ft?

Question 4 (1 nointi

User Jan Berndt
by
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1 Answer

11 votes

Explanation:

The radius of a cylinder, r = 13 feet

Height of the cylinder, h = 28 feet

The circumference of the cylinder is given by :


C=2\pi r\\\\=2\pi * 13\\\\=81.68\ ft\\\\C=82\ ft

The area of one base is given by :


A=\pi r^2\\\\=\pi * 13^2\\\\=530.92\ ft^2\\\\=531\ ft^2

The lateral area of the cylinder is given by :


A=2\pi r h\\\\A=2\pi* 13* 28\\\\A=2287.07\ ft^2

Total surface of the cylinder is given by :


A=2\pi r h+2\pi r^2\\\\=2287.07+2\pi * (13)^2\\\\=3348.92\ ft^2

The total surface area of the cylinder is not matched with the given data. Hence, option (4) is not correct.

User Seungho Lee
by
5.2k points