Question

Find the slant height of the cone to the nearest whole number.

Answer 1

Answer: D. 19

Explanation:

11^2+16^2

=377

√377

=19

So 19m is the answer.

Answer 2

Slant height = 19 m.

Explanation:

Given : A cone with height 16 m and base radius 11m .

To find : Find the slant height of the cone to the nearest whole number.

Solution : We have given A cone with height 16 m and base radius 11 m with 90 degree.

By using the Pythagorean theorem :

Slant height =
`\sqrt{Height^(2) + Radius^(2)}`.

Slant height =
`\sqrt{Height^(2) + Radius^(2)}`.

Slant height =
`\sqrt{(16)^(2) + (11)^(2)}`.

Slant height =
`√(256 + 121)`.

Slant height =
`√(372)`.

Slant height = 19 .28 m

Nearest whole number 19 m

Therefore, Slant height = 19 m.