Question

Help________________​

Answer 1

302cm³

Explanation:

The formula for the volume of a hemisphere is
`\frac{(4)/(3) \pi r^(3)} {2}` (volume of a sphere over 2)

Plugging in 4 for r we get the answer of
`(256)/(6)\pi`

Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)

We can now find the volume of the cone using the formula
`(1)/(3) \pi r^(2) h`

Plugging in 4 for r and 10 for h we get the answer
`53 (1)/(3) \pi`

Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)

That is the answer

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