Question

Which expression represents the volume, in cubic units, of the composite figure?

a) π(103) + π(102)(28)
b) π(203) + π(202)(28)
c) 2π(103) + π(102)(28)
d) 2π(203) + π(202)(28)

Answer 1

A.

Explanation:

Answer 2

we can see that

there are two hemispheres and one cylinder

so, we will find volume of each

and then we combine them

Hemisphere:

we can see that

diameter=20

so, radius =10

`r=10`

now, we can use volume formula

`V=(2)/(3)\pi r^3`

now, we can plug values

`V=(2)/(3)\pi (10)^3`

`V=(2000)/(3)\pi`

Cylinder:

now, we can find volume of cylinder

`r=10`

`h=28`

we can use formula

`V=\pi r^2 h`

now, we can plug values

we get

`V=\pi (10)^2 *28`

now, we can find total volume

`V=2*(2)/(3)\pi (10)^3 +\pi (10)^2 *28`

`V=2\pi *(2)/(3) (10)^3 +\pi (10)^2 *28`.............Answer