EXPLANATION
Given that the slant represents the diagonal side of a solid, we can use the Pythagorean Theorem as shown as follows:
Thus, if we know the height and the base, we can compute the slant height by the Pythagorean as explained above.
The Pythagorean Theorem says:
Therefore, we can substitute the radius and the height in the Pytagorean Equation to obtain the slant height.
Pluggin in the given values into the equation:
Isolating the slant height:
Now, if we need to compute the Surface Area, we need to combine the formulas for all the solids that form the figure.
Figure:
Thus, the surface area is:
Replacing terms:
We can apply the same reasoning to the Volume:
Finally, just replacing the corresponding values, give us the appropiate surfaces and volumes.