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10Find the volume of the following solid. Be sure to TYPE IN/SHOW ALL THE WORK HERE!!!(HINT: Use what you know about cylinders and spheres. The top of the solid is a hemisphere.)12 in.13 in.

User Mcpeterson
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1 Answer

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Solid figure

d = 12 in

h = 13 in

volume = ?

Step 02:

r = d / 2 = 12 in / 2 = 6 in

hemisphere volume:

V = 2/3 π r³

V = 2/3 π (6 in)³

V = 452.39 in³

cylinder volume:

V = h π r²

V = 13 in * π * (6 in)²

V = 1470.27 in³

total volume = 452.39 in³ + 1470.27 in³

= 1922.66 in³

The answer is:

The volume is 1922.66 in³

User Jcern
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