Question

An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The

diameter of the floor of the observatory is 64 feet, as shown in the diagram.

Which measurement is closest to the circumference of the base of the observatory in feet?
F 200.96 ft
G 3,215.36 ft
H 100.48 ft
J 401.92 ft
3 A classroom is arranged with 8 seats in the front row, 10 seats in the mid

Answer 1

Option F.
`200.96\ ft`

Explanation:

we know that

The circumference of a circle is equal to

`C=\pi D`

in this problem

`D=64\ ft`

substitute

`C=\pi (64)=64\pi\ ft` -----> exact value of the circumference

Find the approximate value of the circumference

assume

`\pi=3.14`

`64\pi\ ft=64(3.14)=200.96\ ft`