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

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

$V=\frac{2}{3}\pi r^3$

now, we can plug values

$V=\frac{2}{3}\pi (10)^3$

$V=\frac{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

$V=2*\frac{2}{3}\pi (10)^3 +\pi (10)^2 *28$

$V=2\pi *\frac{2}{3} (10)^3 +\pi (10)^2 *28$.............Answer

Answer 2

Answer:

A.

Step-by-step explanation: