Question

Can anyone help me with this its driving me nuts.

Answer 1

Given:

Surfacea area of cylinder is 82π square meter.

The objective is to find the new surfacea area if dimensions are tripled.

Consider the radius of cylinder as r, height of the cylinder as h.

The formula to find the surfacea area is,

`SA=2\pi r(h+r)`

It is given that the dimensions are tripled. Then, the formula will become.

`\begin{gathered} SA=2\pi\cdot3r(3h+3r) \\ =2\pi\cdot3r\cdot3(h+r) \\ =9\lbrack2\pi r(h+r)\rbrack \end{gathered}`

Now, substitute the given value of surface area in the above equation.

`\begin{gathered} SA=9\lbrack82\pi\rbrack \\ =738\pi m^2 \end{gathered}`

Thus, the new surfacea area is 738π square meter.

Hence, option (C) is the correct answer.