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.2 Two hemispheres, with A the centre of each, are joined at theirflat surfaces. One has radius 8mm and the other radius 10mm.Find the total surface area and volume of this compound shape.

Sagot :

Solution

For this case we can do the following:

[tex]SA=4\pi r^{2}[/tex]

Replacing we got:

[tex]SA_1=4\pi(4\operatorname{mm})^2=201.06\operatorname{mm}^{2}[/tex][tex]SA_2=4\pi(5\operatorname{mm})^2=314.16\operatorname{mm}^{2}[/tex]

Then the surface area for the first one is 201.06mm² and the second one 314.16mm²

And the volume is:

[tex]V_1=\frac{4}{3}\pi(4\operatorname{mm})^3=268.083\operatorname{mm}^{3}[/tex][tex]V_2=\frac{4}{3}\pi(5\operatorname{mm})^3=523.599\operatorname{mm}^{3}[/tex]

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