Question

Find the total surface area AND the volume of the solid object in the picture simplify your answer and round to the nearest hundredth if needed

Answer 1

Given:

Height, h=43m

Radius, r=16m

To find the total surface area:

Using the formula of the total surface area of the cylinder,

$\begin{gathered} A=2\pi r(h+r) \\ =2\times\frac{22}{7}\times16\times(43+16) \\ =2\times\frac{22}{7}\times16\times59 \\ =5933.71m \end{gathered}$

Hence, the total surface area of the given figure is 5933.71 square meters.

Next to find the volume of the solid:

Using the formula of volume of cylinder,

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