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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)

Which expression represents the volume, in cubic units, of the composite figure? a-example-1

2 Answers

3 votes

Answer:

A.

Explanation:

User Joncys
by
6.6k points
5 votes

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


User Omotto
by
5.6k points