Question

A cone with diameter 18 millimeters and height 11 millimeters.

Which statements about the cone are true? Check all that apply.
1.)The radius is double the diameter.
2.)The radius is 9 mm.
3.)The base area is calculated using the radius.
4.)The volume is one-third the volume of a cylinder with the same height and diameter.
The volume of the cone is 297 pi millimeters cubed.

Answer 1

The radius is 9 mm.

The base area is calculated using the radius.

The volume is one-third the volume of a cylinder with the same height and diameter.

The volume of the cone is 297 pi millimeters cubed.

Step-by-step explanation:

those are all true just took it

Answer 2

Hello! :)

Answer:

All of the following statements about the cone are true.

2.) The radius is 9 mm.

3.) The base area is calculated using the radius.

4.) The volume is one-third the volume of a cylinder with the same height and diameter.

5.) The volume of the cone is 297 pi millimeters cubed.

Step-by-step explanation:

The radius is always half the diameter, which is why the first choice is false, and the second choice is true.

When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π
`r^(2)`

Volume of the cone:

V =
`(1)/(3)`π
`r^(2)`h

=
`(1)/(3)` × π ×
`9^(2)` × 11

= 933.052233 mm²

Volume of a cylinder with the same height and diameter:

V = π
`r^(2)`h

= π × 81 × 11

= 891π

= 2799.15669 mm²

2799.15669 ÷ 3 = 933.052233

Option four is true.

297 × π = 933.05223 This is true.