Question

Question is in image. The cone at the top is part of the question

Answer 1

The formula to calculate the surface area of a cone is given by

`SA=pi*r^2+pi*r*l`

where

r=16/2=8 in ----> the radius is half the diameter

l=18 in ----> slant height

substitute given values

`\begin{gathered} SA=pi*8^2+pi*8*18 \\ SA=64pi+144pi \\ SA=208pi\text{ in}^2 \end{gathered}`

The surface area is 208pi square inches

Problem N 9

Find out the height of the cone

Applying the Pythagorean Theorem

`\begin{gathered} l^2=h^2+r^2 \\ 18^2=h^2+8^2 \\ h^2=18^2-8^2 \\ h^2=260 \\ h=√(260) \\ h=16.1\text{ in} \end{gathered}`

The answer is option B