Question

PLEASE HELP! The figure is made up of a hemisphere and a cylinder.

What is the exact volume of the figure?



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Answer 1

the volume of the cylinder is defined by V = πr²h
V = π(5²)(8) ≈ 628.32

the volume of a hemisphere is defined by V =
`(2)/(3) \pi r^(3)`

V =
`(2)/(3)( \pi )(5^(3) )` ≈ 261.8

Now adding the two volumes together: 628.32 + 261.8 = 890.12
Note that this is just an estimate because I chose to round the volume of the cylinder and the hemisphere before adding them together..


`V = \pi ( 5^(2))(8) + \pi ( (2)/(3) )( 5^(3))`
V =
`\pi (200 + 83 (1)/(3) )`
V =
`283 (1)/(3) \pi`

Answer 2

The answer is 283 1/3 pi because you have to find the volumes of each and then divide the hemisphere by 2 because its only half of a sphere and then add them together