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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.
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12 votes
12 votes
.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.

User Pierre Buyle
by
2.3k points

1 Answer

28 votes
28 votes

Solution

For this case we can do the following:


SA=4\pi r^(2)

Replacing we got:


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

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

And the volume is:


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

User Smishra
by
2.5k points
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